Question

Alexia started babysitting when she was in high school. She has built a reputation for herself and has become popular among the neighborhood parents. Alexia charges $10/h and gets a $5 automatic tip. Alexia needs $75 to buy a present for her mother. She wants to find out the minimum number of hours she needs to babysit at one job to get the money she needs. (5 points)

a. Write an inequality to show how to solve this problem. Identify what the variable is and what it represents.
b. Solve the inequality to find out the minimum number of hours Alexia needs to babysit. Show your work.

Answer 1

$10(7+x)=75$       she charges $10 an hour = $10
$10(7+5x)=75$     she needs $75 + $5 tip = 5t                10*7=70 + 5 = 75

she needs to babysit 7hours in all..
she charges 10$ an hour , if she dose 7 hours she will have 70$ but there is an automatic tip of 5$ soo 70 + 5 = 75

dose this help?

Answer 2

so 5 dollar is autpay
so total pay=(payperhour) times (hoursworked) +tip/autopay
total pay needed=75
autopay=5
pay per hour=10 dolllar per hour or 10
replace payperhour with 10
replace hoursworked with h
subsitute and solve
75=10 times h+5
subtract 5 from both sides
70=10 times h
divide both sides by 10
7=h

she needs to work at least 7 hours




a.
 inequality is she needs to make at least 75
at least is <
so the inequality is
75<10h+5 or
10h+5>75


b. we solved the inequality above
answer is
hours>7
at leas 7 hours