Question

Select the correct answer.A daycare center charges $3 per hour for preschool-aged children and $4 per hour for infants and toddlers. This equation represents thenumber of preschoolers, x, and infants and toddlers, y, at the daycare center in an hour when it earns $180:3x + 4y = 180.Which graph represents the relationship?OA74+60Daycare CenterInfants and Toddlers+2078602040PreschoolersOB.74+60Daycare CenterSIBIDO

Answer 1

Option A

Explanation:

Let the number of pre-schoolers be x

Let the number of infants and toddlers be y

The day care charges $3 per hour for preschool aged and charges $4 for infants and toddlers

Since, the day care earns a total of $180 in an hour

Therefore, the equation becomes

3x + 4y = 180

To find x , isolate y by making the value of y zero

3x + 4y = 180

3x + 4(0) = 180

3x + 0 = 180

3x = 180

Isolate x

3x/3 = 180/3

x = 180/3

x = 60

Therefore, 60 preschools aged were in the daycare

To find y, isolate x by making x = 0

3x + 4y = 180

3(0) + 4y = 180

0 + 4y = 180

4y = 180

Isolate y

4y/4 = 180/4

y = 45

Therefore, there 45 infants and toddlers

Therefore, the graph that best represents the above values is graph A----- Option A