Question

1. you earn $100 shoveling snow from 8 sidewalks. you charge the same amount for each sidewalk. how much will you earn if you shovel 5 sidewalks?

$62.50

1. the cost of oranges in a grocery store is directly proportional to the number of oranges purchased. jerri paid $7.84 for 7 oranges. if p represents the cost, in dollars, and n represents the number of oranges purchased, which equation best represents this relationship?

p = 1.12n

Explanation:

Problem 8

Step1: Find cost per sidewalk

To find the cost per sidewalk, divide total earnings by number of sidewalks. So, $\frac{100}{8} = 12.5$ dollars per sidewalk.

Step2: Calculate earnings for 5 sidewalks

Multiply cost per sidewalk by 5. So, $12.5\times5 = 62.5$ dollars.

Step1: Recall direct proportion formula

Direct proportion is $p = kn$, where $k$ is the constant of proportionality.

Step2: Find the constant $k$

Given $p = 7.84$ when $n = 7$, so $k=\frac{p}{n}=\frac{7.84}{7}=1.12$.

Step3: Write the equation

Substitute $k = 1.12$ into $p = kn$, we get $p = 1.12n$.

Answer:

$\$62.50$

Problem 9