Question

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. If David worked 15 hours at the coffee shop, write an inequality to represent the number of hours, x, babysitting that David will need to work to earn a minimum of $200. Use the inequality to find the number of full hours he must babysit to reach his goal of $200.

Answer 1

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

Explanation:

Let x be the no. of hours he must babysit to reach his goal of $200.

Cost for working 1 hour at coffee shop = $11

Cost for working 15 hour at coffee shop =
`11 * 15=165`

Cost for working 1 hour babysitting = $8

Cost for working x hour babysitting = 8x

We are supposed to find the number of full hours he must babysit to reach his goal of $200.

165+8x=200

8x=200-165

`x=(200-165)/(8)`

x=4.375

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