Question

test, form 2a (continued)

1. a fox can run at a speed of 42 miles per hour. how many feet per second is this?

a. 42 ft/s b. 1,232 ft/s c. 61.6 ft/s d. 3,696 ft/s
7.

1. the graph shows the amount of money joe earns each hour he works. which statement about the graph is not true?

earnings
graph of earnings vs time (h) with points and line
f. the graph shows a proportional relationship.
g. the graph shows a nonproportional relationship.
h. the unit rate is $15/hour.
i. the line is straight.
8.

1. the table shows the cost for ordering a certain number of pieces of chicken. what is the value of x if the cost is proportional to the number of chicken pieces ordered?

table: pieces of chicken ordered (2, 3, 4, 6); cost ($3.00, $4.50, $6.00, x)
9.

1. if it takes 4 gallons of gas to drive 92 miles, how many miles can be driven using 6 gallons of gas?

10.

1. martin can travel 174 miles in 3 hours. at this rate, how far can he travel in 7 hours?

11.

1. bart can type 296 words in 8 minutes. at this rate, how many words can he type in 20 minutes?

18 course 2 · chapter 1 ratios and proportional reasoning

Explanation:

Step1: Convert miles to feet

$42 \text{ miles} \times 5280 \frac{\text{feet}}{\text{mile}} = 221760 \text{ feet}$

Step2: Convert hours to seconds

$1 \text{ hour} \times 3600 \frac{\text{seconds}}{\text{hour}} = 3600 \text{ seconds}$

Step3: Calculate ft/s

$\frac{221760}{3600} = 61.6 \text{ ft/s}$

Step1: Identify proportional graph traits

A proportional graph is a straight line passing through (0,0).

Step2: Evaluate each statement

• F: True (line passes through origin, straight)
• G: False (it is proportional)
• H: True (15/1 = 30/2 = 45/3)
• I: True (line is straight)

Step1: Find unit cost

$\frac{\$3.00}{2} = \$1.50 \text{ per piece}$

Step2: Calculate cost for 6 pieces

$6 \times \$1.50 = \$9.00$

Step1: Find miles per gallon

$\frac{92}{4} = 23 \frac{\text{miles}}{\text{gallon}}$

Step2: Calculate miles for 6 gallons

$6 \times 23 = 138 \text{ miles}$

Answer:

C. 61.6 ft/s

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