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June needs at least $575 to go on a vacation. She earns $10 an hour for babysitting and already has $252 saved for the trip. Which inequality can be used to find the number of hours she needs to babysit

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MrRoyal

Answer:

[tex]252 + 10h \ge 575[/tex]

Step-by-step explanation:

Given

[tex]Savings = 252[/tex]

[tex]Target=575[/tex] -- atleast

[tex]Earnings = \$10[/tex] per hour

Required

Represent as an inequality

Suppose that she babysits for h hours, her total earnings would be:

[tex]Total\ Earnings = 10h[/tex]

In inequalities:

At least means [tex]\ge[/tex]

So, when the total earnings is added to her savings, we have:

[tex]Savings + Total\ Earnings \ge Target[/tex]

Substitute values for Savings, Total Earnings and Target

[tex]252 + 10h \ge 575[/tex]

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