Question

angel earns $100 each week working at a summer camp and $60 each week babysitting. she starts babysitting two weeks before camp begins. let w represent the number of weeks that angel babysits

part a
write an inequality that can be used to find the minimum number of weeks that angel must work babysitting to earn at least $800 total from both jobs.

part b
solve the inequality to find the minimum number of full weeks that angel must work babysitting to earn at least $800 total from both jobs.
____ full weeks

Explanation:

Step1: Define total earnings per week

Angel earns $\$100 + \$60 = \$160$ per week from both jobs.

Step2: Set up inequality for total earnings

Total earnings after $w$ weeks is $160w$, which needs to be at least $\$800$.
$$160w \geq 800$$

Step3: Solve for $w$

Divide both sides by 160:
$$w \geq \frac{800}{160}$$
$$w \geq 5$$

Answer:

Part A:

$160w \geq 800$

Part B:

5 full weeks