Graph Interpretation Quiz

Which units are most appropriate for the rate of change in the graph?

• dollars/hour

• dollars/mile

• miles/dollar

• miles/hour

What is the most reasonable domain for the graph of the function?

• 0 ≤ x ≤ 200

• 22 ≤ x ≤ 200

• x ≥ 0

• x ≤ 10

A local library holds a contest each summer to encourage children to read. The library gives out a prize to all participants who read 1 book every 2 weeks over the summer. Which is least likely to affect the number of prizes given out at the end of the summer?

• the average reading speed of each child

• the height of the books

• the number of children who participate in the contest

• the number of hours each child spends reading

Consider the relation given by the set of ordered pairs. {(0,3), (1,4), (3,6), (4,5), (5,5), (5,6)} Which ordered pair should be removed so that the relation represents a function?

• (0,3)

• (1,4)

• (3,6)

• (5,5)

Two housing developments are building homes. Development 1: The number of homes built increases by 15 per year. Development 2: The number of homes built increases by 15% per year. Which statement is true?

• The descriptions for both housing developments are best modeled by exponential functions.

• The descriptions for both housing developments are best modeled by linear functions.

• The description for Development 1 is best modeled by a linear function, while the description for Development 2 is best modeled by an exponential function.

• The description for Development 1 is best modeled by an exponential function, while the description for Development 2 is best modeled by a linear function.

Consider the histograms, which represent the lengths, in inches, of various students’ hair in two classes. Determine whether each statement is true or false.

• True

• False

Consider the equation: \(2x - 12 = 3(x - 6)\). What is the solution to the equation?

• \(x = -6\) only

• \(x = 6\) only

• There are infinitely many solutions to the equation.

• There is no solution to the equation.

A mechanic at a bicycle shop replaces tires. The function f(x) = -4x + 32 represents the remaining number of tire replacements the mechanic needs to complete by the end of x hours of work, where 0 ≤ x ≤ 8. What is the initial number of tire replacements the mechanic needs to complete when x = 0?

• 32 tire replacements

• 28 tire replacements

• 4 tire replacements

• 0 tire replacements

• the number of years it takes for the share of stock to have a value of $20,000

• the number of years it takes for the share of stock to increase in value by $20,000

• the value of the share of stock 20 years after it is purchased

• the value that is added to the initial value 20 years after the share of stock is purchased