Practice Quiz 2 of 4

Module 5 — Linear Functions, Intercepts, Rate of Change & Slope (Lessons 5.1–5.3)

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5.1 — Recognizing Linear Functions
Question 1 of 20
A race car travels y = 210x miles in x hours. In the table, x goes 0, 1, 2, 3, 4, 5. By how much does y change each time x goes up by 1?
Answer:
Question 2 of 20
In the proof, linear functions are written as f(x) = mx + b. What is the name of this form?
5.1 — Standard Form Ax + By = C
Question 3 of 20
Solve 5x + y = 10 for y. What is y when x = 3?
Answer:
5.1 — Discrete vs. Continuous & Modeling
Question 4 of 20
Is the number of basketballs manufactured per day discrete or continuous?
Question 5 of 20
The graph shows a hotel’s total cost by number of rooms. Which statement is true?
123450100150200(1, 50)(2, 100)(3, 150)(4, 200)Number of roomsTotal cost ($)
Question 6 of 20
Peter pays $3 for each book: f(x) = 3x. What is the range?
5.2 — Finding Intercepts
Question 7 of 20
Find the y-intercept of 3x − 2y = 6.
Answer:
Question 8 of 20
Find the y-intercept of −6x − 8y = 24.
Answer:
Question 9 of 20
Which point is both an x-intercept and a y-intercept?
5.2 — Interpreting Intercepts
Question 10 of 20
A hot air balloon’s height is f(x) = 750 − 25x. What does the y-intercept (750) mean?
Question 11 of 20
Connor runs a 10 km race at 1 km every 4 minutes: f(x) = 10 − 1⁄4x km left. How many minutes until he finishes?
Answer:
5.2 — Graphing with Intercepts
Question 12 of 20
For any line Ax + By = C, what is the x-intercept?
5.3 — Rate of Change & Slope
Question 13 of 20
Postage table — Years after 2000 (x): 3, 4, 6, 8, 13  |  Cost in cents (y): 37, 37, 39, 42, 46.
What is the rate of change from 2004 to 2006?
Answer:
Question 14 of 20
Find the slope of the line.
-8-6-4-22468-8-6-4-2246810(-2, 3)(1, 0)xy
Answer:
Question 15 of 20
Use the slope formula to find the slope through (−6, 5) and (−4, −3).
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Question 16 of 20
A table shows x: 1, 2, 3, 4 and y: 5, 5, 5, 5. What is the slope of the line?
Question 17 of 20
Water flows into a reservoir. After 40 hours there are 3000 ft³, and after 60 hours there are 4000 ft³. What is the slope?
Answer:
Question 18 of 20
Printing costs: 1000 pages cost $310 and 3500 pages cost $460. What is the slope (dollars per page)?
Answer:
Question 19 of 20
Postage table — Years after 2000 (x): 3, 4, 6, 8, 13  |  Cost in cents (y): 37, 37, 39, 42, 46.
Between which years is the rate of change the greatest?
Question 20 of 20
A section of the Mount Washington Cog Railway has slope 0.37. A vertical change of 1 unit goes with a horizontal change of how many units? (Round to the nearest hundredth.)
Answer: