Answer:
The statement that best compares the two plan is:
- Jayna charges a lower hourly rate than Hannah.
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)