Topic 7: ACT Mathematics: Modeling And Problem Solving

Lesson 7.2: Interpreting And Evaluating Models — Quiz

Test your understanding of lesson 7.2: interpreting and evaluating models with 5 practice questions.

Practice Questions

Question 1

A company's revenue model is described by the equation $R = 150x$, where $R$ is the revenue in dollars and $x$ is the number of items sold. What is the revenue when 20 items are sold?

Question 2

A model predicts that the population of a town will grow according to the function $P(t) = 500 + 15t$, where $t$ represents years since 2020. What is the projected population in the year 2025?

Question 3

If a car travels at a constant speed described by the equation $d = 60t$, where $d$ is in miles and $t$ is in hours, how far does the car travel in 3 hours?

Question 4

A graph shows a linear model representing the height of a plant over time, given by $H(t) = 5t + 10$. What is the height of the plant after 4 weeks?

Question 5

The cost function for producing $x$ units is given by $C(x) = 20x + 100$. What is the total cost when producing 10 units?