Name ____________________________

Unit 4 Final Assessment

Identify the following relationships as directly proportional or inversely proportional. Identify the independent variable and the dependent variable. 

1. a. The temperature outside the the heating bill

    b. The amount of time traveled and the distance traveled

Look at the pair of ratios. Tell whether or not these ratios form a proportion.

2. \frac{5}{2} and \frac{10}{6}

3. Dasan’s mom takes him to the video arcade for his birthday. In the first 10 minutes, he spends $3.50 playing games. If his allowance for the day is $20.00, how long can he keep playing games before his money is gone?

4. Make a table for the function y = 1.5 x when x = 2,4,6, and 8. Then make a graph.

5. If y = 40.5 when x = 4.5, determine the constant of proportionality (k) and write the direct variation equation.

Find the unit rate

6. 16 pounds for $40.00

7. Nadia needs to buy some cheddar cheese. An 8-ounce package of cheddar cheese costs $2.40. A 12-ounce package of cheddar cheese costs $3.36.

a. Find the unit price for the 8-ounce package.

b. Find the unit price for the 12-ounce package.

c. Which is the better buy? How many cents per ounce cheaper is the better buy?

8. The graph below shows a conversion chart for converting between the weight in kilograms and the weight in pounds. Use it to convert the following measurements.

a. four kilograms into weight in pounds

b. nine kilograms into weight in pounds

c. 12 pounds into weight in kilograms

d. 17 pounds into weight in kilograms

9. Find the slope of each line shown.

a.

b.

10. On the coordinate grid below, draw a line that passes through (–3, 2) and has a slope of \frac{1}{2}.