Question

Walden works at the animal rescue, where he's paid a fixed rate for each dog he washes. If he washes 6 dogs, he will earn $25.50. Find the equation that represents the relationship between the number of dogs he washes, x, and the amount he will earn, y, in dollars.

a) y = 4.25x
b) y = 4x
c) y = 25.50x
d) y = 6x

Answer 1

Walden earns $4.25 per dog he washes. Multiplying this rate by the number of dogs washed gives the equation y = 4.25x, which represents the amount earned (y) for any number of dogs (x) washed.

Step-by-step explanation:

To find the equation that describes how much Walden earns for washing dogs at the animal rescue, we will use the information given: he earns $25.50 for washing 6 dogs. Thus, we can calculate the rate per dog by dividing the total amount he earns by the number of dogs. The rate per dog is $25.50 ÷ 6 dogs = $4.25 per dog.

The equation that represents the relationship between the number of dogs Walden washes (x) and the amount he will earn (y) is given by the rate per dog times the number of dogs. Hence, the equation is y = 4.25x.

Therefore, the correct answer is a) y = 4.25x.