Question

test prep

1. jane is saving to buy a cell phone. she is given a $100 gift to start and saves $35 a month from her allowance. so after 1 month, jane has saved $135. does it make sense to represent the relationship between the amount saved and the number of months with one constant rate? why or why not? explain your answer.

1. raj is mixing different colors of paint. the table shows the amount of each color paint raj uses for each mixture.

raj’s paint mixtures
mixture\tred (ounces)\tblue (ounces)
1\t2\t1
2\t7\t3.5
3\t4.5\t2
4\t5.5\t2.5
select the two mixtures that will produce the same color.
a mixtures 1 and 2
b mixtures 3 and 4
c mixtures 1 and 3
d mixtures 2 and 4

spiral review

1. at 1:00 p.m., a diver’s elevation is −30 feet relative to sea level. at 2:00 p.m., the diver’s elevation is −45 feet. at which time is the diver farther from sea level?

1. a share of stock costs $83.60. the next day, the price increases $15.35. the following day, the price decreases $4.75. what is the final price?

Explanation:

for 6:

Step1: Identify monthly savings rate

Monthly savings = $35

Step2: Check rate constancy

Amount increases by $35/month, rate is constant.

for 7:

Step1: Calculate Red/Blue ratios

Mixture1: 2/1=2; Mixture2:7/3.5=2; Mixture3:4.5/2=2.25; Mixture4:5.5/2.5=2.2

Step2: Identify same ratios

Mixtures1 and 2 have ratio 2.

for 8:

Step1: Calculate absolute elevations

1 PM: |-30|=30 ft; 2 PM: |-45|=45 ft

Step2: Compare distances

45 ft > 30 ft.

for 9:

Step1: Add price increase

$83.60 + $15.35 = $98.95

Step2: Subtract price decrease

$98.95 - $4.75 = $94.20

Answer:

for 6: Yes, because the amount saved increases by a constant rate of $35 per month.