Question

Function and Reasoning:

There are 60 calories in 5 ounces of a certain brand of soda.

Part A: Represent the relationship between the number of calories and the number of ounces of soda as a line in the coordinate plane below.

Part B: What is the number of calories per ounce of soda?

Part C: How does the unit rate relate to the slope of the line in the graph above? Explain your answer.

Answer 1

The number of calories per ounce of soda is 10

Part A: Represent the relationship between the number of calories and the number of ounces

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

Part B: What is the number of calories per ounce of soda?

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

Part C: How does the unit rate relate to the slope of the line in the graph above?

The unit rate and the slope represent the same and they have the same value

Read more about linear graphs at:

https://brainly.com/question/4025726

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