Question

Brenna charges $15, $30, $45, and $60 for babystting 1,2,3, and 4 hours, respctively. Is the relastionship between the amount charge and the number of hours porportional? If so, find the unit rate. If not explain why

Answer 1

She charges $15 extra for each hour increased.

15+15=30 ,30+15=45, 45+15=60.

$15 is the unit rate.

Answer 2

Yes, the relationship between the amount charge and the number of hours is proportional.

The unit rate is: $ 15 per hour.

Explanation:

Two variables x and y are said to be in direct proportion if:

`y=kx`

or

`(y)/(x)=k`

Here x represents the number of hours of baby sitting

and y represents the charges.

`(15)/(1)=15\\\\(30)/(2)=15\\\\(45)/(3)=15\\\\(60)/(4)=15`

Since, the ratio is constant.

Hence, the amount charge and the number of hours is proportional.

Also, the unit rate is: $ 15 per hour.