(a) m=6h+15 can be used to find the total amount of money for h hours of babysitting.
(b) After 6 hours of babysitting, Scott will have $51.00
Step-by-step explanation:
Given,
Amount Scott has = $15.00
Per hour amount of babysitting = $6.00
a) Write an equation for the amount of money (m) Scott has after a number of hours babysitting (h).
Total amount of money = m
Number of hours babysitting = h
Total amount of money = Per hour earning from babysitting*Number of hours + Amount Scott has
[tex]m=6h+15[/tex]
m=6h+15 can be used to find the total amount of money for h hours of babysitting.
b) After how many hours of babysitting will Scott have $51.00?
Putting m = 51
[tex]51=6h+15\\51-15=6h\\36=6h\\6h=36[/tex]
Dividing both sides by 6
[tex]\frac{6h}{6}=\frac{36}{6}\\h=6[/tex]
After 6 hours of babysitting, Scott will have $51.00
Keywords: linear equation, division
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