Module 4 Applications of Linear Functions Quiz

Module 4: Applications of Linear Functions

1 / 5

Of the 464 people surveyed, 348 drive a truck and the number of people who drive trucks varies directly with the total population. If 𝑦 is a function of 𝑥, determine the number of people who will drive trucks in a town of 50,000 people.

Which statement best describes the relationship?

The constant of variation is 4 and 200,000 people drive trucks.

The constant of variation is 0.75 and 37,500 people drive trucks.

The constant of variation is 1.25 and 62,500 people drive trucks.

The constant of variation is 0.25 and 12,500 people drive trucks.

2 / 5

An Algebra class was learning about linear relationships and collected data on the weight and height of random students in the school. The table below shows the data.

Based on the correlation coefficient for the data, what type of linear association exists between a person’s height and their weight?

Strong negative

Weak negative

Weak positive

Strong positive

3 / 5

Which situation shows causation?

The number of students who wear hats and the number of students who are absent on the same day.

The price of an item and the number of people in the store.

The size of a fire and the number of firefighters needed to put out the fire.

The number of ice cream shakes ordered and the number of hamburgers ordered.

4 / 5

A student is tracking the cost of printing flyers. The relationship between the number of flyers printed and the total cost is shown in the table.

Which function best models the data?

𝑦 = 43.6𝑥 − 0.005

𝑦 = -0.0048𝑥 + 43.57

𝑦 = -0.0048𝑥 + 34

𝑦 = 34𝑥 − 0.005

5 / 5

What value of 𝑥 makes the equation 0.5𝑥 − 3(𝑥 − 5) = 5(𝑥 − 9) true?

𝑥 = 8

𝑥 = -0.533…

𝑥 = 40

𝑥 = 7.5

Your score is

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