Caleb is saving money to buy a bike next year. He makes $75 per week babysitting. So far he has saved $150. Write an inequality to show how many weeks he must babysit so he has at least $800 to spend on the bike, then solve the inequality.

x>8.6

Step-by-step explanation:

We want to model an expression for the amount of money Caleb has and how many week he must work to have that amount

given data

amount at hand=$150

weekly saving=$75

let the number of weeks be x

total amount= $800

the expression for this situation is given as

y=mx+c

where y=800

m=75

c=150

substituting we have

800=75x+150

solving for x we have

800-150=75x

650=75x

x=650/75

x=8.6

then he must work for x>8.6 weeks

x=4,y=2

Step-by-step explanation:

3x-2y=8 1

2x+y=102

multiply equation 2 by 2 and adding equation 1 and 2 ,we get

3x-2y=8

4x+2y=20

+

7x=28

x=28/7=4

:.x=4

again substituting value of x in equation 1 we get

3×4-2y=8

12-8=2y

y=4/2=2

:.y=2