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If Leah babysits for 7 hours this month, what is the minimum number of hours shewould have to work at the ice cream shop to earn at least $120?Give your answer to the nearest whole hour.

If Leah Babysits For 7 Hours This Month What Is The Minimum Number Of Hours Shewould Have To Work At The Ice Cream Shop To Earn At Least 120Give Your Answer To class=

Sagot :

We are given the following information

Leah babysits for $5 per hour and works at an ice cream shop for $8 per hour.

She wants to earn at least $120 a month.

Let x denotes the number of hours she babysits and y denotes the number of hours she works at the ice cream shop.

Then we can set up the following inequality

[tex]5x+8y\ge120[/tex]

(at least means equal or greater than)

If Leah babysits for 7 hours this month, what is the minimum number of hours she would have to work at the ice cream shop to earn at least $120?

We have to substitute x = 7 into the above inequality

[tex]\begin{gathered} 5x+8y\ge120 \\ 5(7)+8y\ge120 \\ 35+8y\ge120 \\ 8y\ge120-35 \\ 8y\ge85 \\ y\ge\frac{85}{8} \\ y\ge10.625 \\ y\ge11 \end{gathered}[/tex]

This means she needs to work at least 11 hours at the ice cream shop to earn at least $120.

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