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

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.

11X + 8Y must be greater than or equal to $200. Y must be greater than or equal to 5.

Step-by-step explanation:

Say that X is the number of hours he works at the coffee shop, and Y is the number of hours he works babysitting. We know that X is going to equal 15, as that is given to us. We also know that David wants to make $200 dollars this week. The way to set this up would be (shown above). With the rest of the information there, we can do simple algebra to figure out that for David to make that $200 goal, he would half to work at least 5 hours at the coffee shop.