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David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns $11 per hour working at the coffee shop. He wants to earn a minimum of $200 this week. David worked 15 hours at the coffee shop. Use the inequality to find the number of full hours he must babysit to reach his goal of $200

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Answer:

The answer is 5 hours.

Step-by-step explanation:

First you have to figure out how much money he already had by working at the coffee shop, so take the 15 hours and multiply it by 11$ he makes per hour and you get 165$, now you have to subtract the 200$ by 165$ to figure out how much he needs so 200 - 165 = 35 that is needed, then you keep going up an hour until your total comes above 35 so if he does 1 hour its 8, 2 hours is 16, 3 hours is 24, 4 hours is 32, and 5 hours is 40 which is finally enough to reach his goal.

The number of full hours he must babysit to reach his goal of $200 is 5.

Given he earns $11 per hour at coffee shop.

He worked 15 hours at the coffee shop.

So his income at coffee shop is = 11(15) = $165.

He wants to earn minimum $200.

So he should earn minimum $(200 - 165) = $35 from baby sitting.

Given: He earns $8 per hour babysitting.

Let he will baby sit for x hours.

So his total income from baby sitting is = $8x.

It means:

[tex]8x > 35\\x>\frac{35}{8}\\x>4.375\\[/tex]

So x must be 5 as next full number.

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