More Proportional Relationship Representations Quick Check

Question

4 of 54 of 5 Items

Question
Use the image to answer the question.

An upward-sloping, straight diagonal line begins at the point left parenthesis 0 comma 0 right parenthesis and passes through plotted the points left parenthesis 0.4 comma 1 right parenthesis and left parenthesis 0.8 comma 2 right parenthesis. The x-axis ranges from negative 2 to 2 in increments of 1. The y-axis ranges from 0 to 4 in increments of 1.

Determine the unit rate using the graph.

(1 point)
Responses

0.4
0.4

2.5
2.5

0.8
0.8

2

Answer 1

The unit rate can be determined by finding the slope of the line graphed on the coordinate plane. In this case, we can determine the slope by finding the change in y divided by the change in x between any two points on the line.

Using the given points (0, 0) and (0.4, 1), the change in y is 1 - 0 = 1 and the change in x is 0.4 - 0 = 0.4.

Therefore, the unit rate is 1/0.4 = 2.5.

The correct answer is 2.5.

Answer 2

It takes 9 cups of water to boil 3 eggs. Which of the following equations correctly identifies the unit rate for boiling one egg?(1 point)
Responses

y=39x
y equals Start Fraction 3 over 9 End Fraction x

y=3x
y equals 3 x

y=93x
y equals Start Fraction 9 over 3 End Fraction x

y=13x

Answer 3

To find the unit rate for boiling one egg, we need to determine how many cups of water are needed for one egg.

Given that it takes 9 cups of water to boil 3 eggs, the unit rate would be the amount of water needed for one egg.

Dividing 9 cups of water by 3 eggs gives us 3 cups of water per one egg.

Therefore, the correct equation that identifies the unit rate for boiling one egg is y = 3x.

The correct answer is y = 3x.