Test PracticeT
280 Proportions and Similarity
- REASONING A powdered drink mix calls for a ratio of powder to water
of 1 : 8. If there are 32 cups of powder, how many total cups of water
are needed? Explain your reasoning.
CHALLENGE Solve each equation.
_ 32 = _x 18 + 5 25. x^10 -^4 = 57 26. 17 4.5- (^) x = ^38
E WRITE MATH Explain why it might be easier to write an equation to
represent a proportional relationship rather than using a proportion.
BABYSITTING Brenna charges $15, $30, $45, and $60 for babysitting 1, 2, 3,
and 4 hours, respectively. Is the relationship between the number of
hours and the amount charged proportional? If so, find the unit rate.
If not, explain why not. (Lesson 1C)
Find each unit rate. Round to the nearest hundredth if necessary. (Lesson 1B)
- 50 miles on 2.5 gallons 33. 2,500 kilobytes in 5 minutes
- 5 peppers for $6.45 35. 64.8 meters in 9 seconds
28. BAKING A recipe for making 3 dozen
muffins requires 1.5 cups of flour. At this
rate, how many cups of flour are
required to make 5 dozen muffins?
A. 2 cups C. 3 cups
B. 2.5 cups D. 3.5 cups
29. An amusement park line is moving
about 4 feet every 15 minutes. At this
rate, approximately how long will it take
for a person at the back of the 50-foot
line to reach the front of the line?
F. 1 hour H. 5 hours
G. 3 hours I. 13 hours
30. EXTENDED RESPONSE Crystal’s
mother kept a record of Crystal’s
height at different ages. She recorded
the information in a table.
Age (y) Height (in.)
0 (birth) 19
125
230
542
10 55
12 60
Part A Write a ratio for each age and
the corresponding height.
Part B Is the relationship between
Crystal’s age and her height
proportional? Explain.
265_281_C05_L1_895130.indd 280 12/29/09 12:59 PM