Question

Use the table to answer the question.

Number of Daycare Kids per Year

Year 2000 2001 2002 2003 2004 2005 2006 2007 2008
Number of Daycare kids 78 98 125 75 86 110 124 165 118
A daycare kept track of the number of clients for a 9-year span. The table shows the years versus number of daycare kids. Which scatterplot represents the data?

(1 point)
Responses

A coordinate graph is titled: Number of daycare kids per year. It shows number of daycare kids on the x-axis from 50 to 170 in increments of 10 and year on the y-axis from year 1999 to year 2008 in increments of 1.
The approximate data points are left parenthesis 78 comma year 2000 right parenthesis, left parenthesis 98 comma year 2001 right parenthesis, left parenthesis 125 comma year 2002 right parenthesis, left parenthesis 75 comma year 2003 right parenthesis, left parenthesis 70 comma year 2004 right parenthesis, left parenthesis 110 comma year 2005 right parenthesis, left parenthesis 124 comma year 2006 right parenthesis, left parenthesis 165 comma year 2007 right parenthesis, and left parenthesis 118 comma year 2008 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of daycare kids per year. It shows number of daycare kids on the x-axis from 50 to 170 in increments of 10 and year on the y-axis from year 1999 to year 2008 in increments of 1. The approximate data points are left parenthesis 78 comma year 2000 right parenthesis, left parenthesis 98 comma year 2001 right parenthesis, left parenthesis 125 comma year 2002 right parenthesis, left parenthesis 75 comma year 2003 right parenthesis, left parenthesis 70 comma year 2004 right parenthesis, left parenthesis 110 comma year 2005 right parenthesis, left parenthesis 124 comma year 2006 right parenthesis, left parenthesis 165 comma year 2007 right parenthesis, and left parenthesis 118 comma year 2008 right parenthesis.

A coordinate graph is titled: Number of daycare kids per year. It shows year on the x-axis from year 1999 to year 2008 in increments of 1 and number of daycare kids on the y-axis from 50 to 170 in increments of 10.
The approximate data points are left parenthesis year 2000 comma 78 right parenthesis, left parenthesis year 2001 comma 98 right parenthesis, left parenthesis 2002 comma 125 right parenthesis, left parenthesis year 2003 comma 75 right parenthesis, left parenthesis year 2004 comma 86 right parenthesis, left parenthesis year 2005 comma 110 right parenthesis, left parenthesis year 2006 comma 124 right parenthesis, left parenthesis year 2007 comma 150 right parenthesis, and left parenthesis year 2008 comma 118 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of daycare kids per year. It shows year on the x-axis from year 1999 to year 2008 in increments of 1 and number of daycare kids on the y-axis from 50 to 170 in increments of 10. The approximate data points are left parenthesis year 2000 comma 78 right parenthesis, left parenthesis year 2001 comma 98 right parenthesis, left parenthesis 2002 comma 125 right parenthesis, left parenthesis year 2003 comma 75 right parenthesis, left parenthesis year 2004 comma 86 right parenthesis, left parenthesis year 2005 comma 110 right parenthesis, left parenthesis year 2006 comma 124 right parenthesis, left parenthesis year 2007 comma 150 right parenthesis, and left parenthesis year 2008 comma 118 right parenthesis.

A coordinate graph is titled: Number of daycare kids per year. It shows year on the x-axis from year 1999 to year 2008 in increments of 1 and number of daycare kids on the y-axis from 50 to 170 in increments of 10.
The approximate data points are left parenthesis year 2000 comma 78 right parenthesis, left parenthesis year 2001 comma 98 right parenthesis, left parenthesis year 2002 comma 125 right parenthesis, left parenthesis year 2003 comma 75 right parenthesis, left parenthesis year 2004 comma 86 right parenthesis, left parenthesis year 2005 comma 110 right parenthesis, left parenthesis year 2006 comma 124 right parenthesis, left parenthesis year 2007 comma 165 right parenthesis, and left parenthesis year 2008 comma 118 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of daycare kids per year. It shows year on the x-axis from year 1999 to year 2008 in increments of 1 and number of daycare kids on the y-axis from 50 to 170 in increments of 10. The approximate data points are left parenthesis year 2000 comma 78 right parenthesis, left parenthesis year 2001 comma 98 right parenthesis, left parenthesis year 2002 comma 125 right parenthesis, left parenthesis year 2003 comma 75 right parenthesis, left parenthesis year 2004 comma 86 right parenthesis, left parenthesis year 2005 comma 110 right parenthesis, left parenthesis year 2006 comma 124 right parenthesis, left parenthesis year 2007 comma 165 right parenthesis, and left parenthesis year 2008 comma 118 right parenthesis.

A coordinate graph is titled: Number of daycare kids per year. It shows year on the x-axis from year 1999 to year 2008 in increments of 1 and number of daycare kids on y-axis from 50 to 170 in increments of 10.
The approximate data points are left parenthesis year 2000 comma 78 right parenthesis, left parenthesis year 2001 comma 98 right parenthesis, left parenthesis year 2002 comma 125 right parenthesis, left parenthesis year 2003 comma 75 right parenthesis, left parenthesis year 2004 comma 70 right parenthesis, left parenthesis year 2005 comma 110 right parenthesis, left parenthesis year 2006 comma 124 right parenthesis, left parenthesis year 2007 comma 165 right parenthesis, and left parenthesis year 2008 comma 118 right parenthesis.

Answer 1

Use the table to answer the question.

Number of Students versus Average Test Grade

Number of Students 24 4 3 7 18 26 14 16 4
Grade 78 98 50 42 86 92 90 87 61
A math teacher kept track of his students' grades on the last 8th-grade math exam. Which scatterplot represents the data?

(1 point)
Responses

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5.
The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 6 comma 61 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 87 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5. The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 6 comma 61 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 87 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5.
The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5. The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5.
The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 20 comma 92 right parenthesis, and left parenthesis 24 comma 78 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5. The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 20 comma 92 right parenthesis, and left parenthesis 24 comma 78 right parenthesis.

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows grade from 0 to 100 on the x-axis and number of students on the y-axis from 0 to 26.
The approximate data points are left parenthesis 78 comma 24 right parenthesis, left parenthesis 98 comma 4 right parenthesis, left parenthesis 50 comma 3 right parenthesis, left parenthesis 42 comma 7 right parenthesis, left parenthesis 86 comma 18 right parenthesis, left parenthesis 92 comma 26 right parenthesis, left parenthesis 90 comma 14 right parenthesis, left parenthesis 87 comma 10 right parenthesis, and left parenthesis 61 comma 6 right parenthesis.

Answer 2

To identify the correct scatterplot that represents the data in the table, we should carefully check the data points against each option stated.

The given data points from the table are:
- (2000, 78)
- (2001, 98)
- (2002, 125)
- (2003, 75)
- (2004, 86)
- (2005, 110)
- (2006, 124)
- (2007, 165)
- (2008, 118)

Now let's analyze the responses:

1. **First option** mentions a point for the year 2004 as (70, 2004), which is incorrect since the correct point is (2004, 86).

2. **Second option** has the point for the year 2007 as (2007, 150), which is also incorrect since the correct point is (2007, 165).

3. **Third option** provides the correct point for year 2007 as (2007, 165). Additionally, it correctly identifies all other points:
- (2000, 78)
- (2001, 98)
- (2002, 125)
- (2003, 75)
- (2004, 86)
- (2005, 110)
- (2006, 124)
- (2008, 118)

4. **Fourth option** has the same points for years 2000, 2001, 2002, 2003, 2005, 2006, and 2008 correctly, but it mistakenly lists the point for year 2004 as (70, 2004), which is incorrect.

Thus, the scatterplot that correctly represents the data from the table is described in the **third option**. It accurately reflects the association between the years and the number of daycare kids according to the provided data.