Question

The function below show how much Jayna and Hannah charge for babysitting. Which statement best compares the two plants?

Answer 1

Answer:

The statement that best compares the two plan is:

• Jayna charges a lower hourly rate than Hannah.

Step-by-step explanation:

Let d denote the number of dollars earned.

h denote the number of hours they babysits.

The function that is obtained by Jayna's Plan is:

                d=3h+10

Hence, the rate per hour Jayna charge is: $ 3.

( Since, the slope or rate of the given function is 3

By comparing with the slope-for y=mx+c where m is the slope and c is the intercept)

( Since, she charge $ 10 for the first hour and then additional $ 3 for each hour she baby sits)

Hannah Plan:

                  d=7h

Hence, the rate per hour Hannah charge is: $ 7

1)

Hannah charge a $ 7 initial fee.

This option is incorrect.

Since when h=0

we get:

d=0

i.e. Hannah charge no initial fee.

2)

if h=1

then,

Money earned by Jayna is:

d=3×1+10=$ 13

Money earned by Hannah is:

d=7×1=$ 7

Hence, if they baby sit for only one hour then Jayna will earn more.

3)

when h=5

Then ,

Money earned by Jayna is:

d=3×5+10=$ 25

Money earned by Hannah is:

d=7×5=$ 35

If they baby sit for 5 hours then Hannah will earn more.

4)

Jayna charges a lower hourly rate than Hannah.

Since, the rate of charge by Hannah is more( i.e. $ 7) then Jayna (i.e. 3)

Answer 2

Answer:

Jayna charges a lower hourly rate

Step-by-step explanation: