Question

Create a linear equation that represents the following scenario. Malia is working for a rate of $17.35 an hour. She got a hiring bonus of $100. What equation would represent the amount of money she would take in based on the number of hours, x?(1 point)

y=100x+17.35


y=100x−17.35


y=17.35x−100


y=17.35x+100

Use the image to answer the question.

Four lines representing different runners are graphed on a coordinate plane.
▶Click for Long Desc

The graph represents 4 runners running toward the finish line. Interpret the graph to determine which runner finishes the race in second place.

(1 point)

Runner B

Runner D

Runner C

Runner A
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Use the table to answer the question.

This table displays the relationship between the number of attendees and the cost of party in dollars.
Number of Attendees Party Cost ($)
0 250
20 480
50 825
70 1,055
There is a fee to rent a party space for a birthday event. There is an additional fee for each person who attends the party. The table represents the graph that displays this relationship between party cost and number of attendees. What is the price per attendee?

(1 point)

$115

$24

$11.50

$250
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Use the image to answer the question.

Four lines and two points are graphed on a coordinate plane. The x-axis is labeled Hours and ranges from 0 to 2 in increments of 0.5. The y-axis is labeled Miles and ranges from 0 to 6 in increments of 2.
▶Click for Long Desc

Bethany, Morgan, and Taylor all go to the local activity center after school. Each girl uses a different form of transportation to travel the six miles from the school to the activity center. Bethany walks, Morgan rides her bike, and Taylor takes the bus. Bethany leaves directly after school, and her distance can be modeled by the equation y=4x
. Morgan leaves half an hour after Bethany, and her distance can be modeled by the equation y=8x−4
. Taylor leaves one hour after Bethany, and her distance can be modeled by the equation y=20x−20
. Use the linear function graph. Which girl arrives at the activity center first?

(1 point)

Bethany

Morgan

The girls all arrive at the same time.

Taylor
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Use the image to answer the question.

Four lines are graphed on a coordinate plane. The x-axis is labeled Hours and ranges from 0 to 2.5 in increments of 0.5. The y-axis is labeled Miles and ranges from 0 to 80 in increments of 10.
▶Click for Long Desc

Sara went to meet her friend Rianna in Rome, but Rianna left Rome on a train 15 minutes earlier. The distance traveled by the train, in miles, with respect to time can be modeled by the equation y=40x+10
. Sara can buy a ticket on a faster train that will leave in 10 minutes and follow the same route. If the distance of the faster train with respect to time can be modeled by the equation y=60x−10
, which two lines on the graph show the solution to when Sara’s train catches up to Rianna’s train?

(1 point)

Line 2 and Line 3

Line 1 and Line 4

Line 1 and Line 2

Line 3 and Line 4
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Answer 1

Here are the answers I can determine and how to get the others:

1) Malia: y = 17.35x + 100 (fourth choice).

2) Runner graph: I can’t see the image. To pick who finishes second, find the x-value where each runner’s line reaches the finish-line y (the finish-line horizontal value). Order those x-values from smallest (first) to largest (last) — the second smallest is second place. Please upload the graph or tell me the finish-line y and the x-values where each runner hits it, and I’ll pick the runner.

3) Party cost per attendee: $11.50 (third choice). Explanation: cost increases from $250 at 0 attendees to $480 at 20 attendees, so (480−250)/20 = 230/20 = 11.50 per person.

4) Bethany / Morgan / Taylor: Morgan arrives first. (Solve 4x=6 → x=1.5 for Bethany; 8x−4=6 → x=1.25 for Morgan; 20x−20=6 → x=1.3 for Taylor — Morgan has the smallest x.)

5) Sara and Rianna trains: algebraically the catch-up time is when 60x − 10 = 40x + 10 → 20x = 20 → x = 1 hour, y = 50 miles. On the graph pick the two lines that intersect at (1, 50). I can’t tell which numbered lines those are from here — please upload the graph or tell me which lines intersect at (1,50) (or which line numbers have slope 40 with y-intercept 10 and slope 60 with y-intercept −10), and I’ll choose the correct option.