QUESTION IMAGE
Question
question 1-11
employees at a shipping company earn $60 plus $12 per delivery. if an employee wants to earn at least $204, which values below would be included in the solution set to the situation?
select all answers that apply.
□ 2 deliveries
□ 8 deliveries
□ 10 deliveries
□ 13 deliveries
□ 17 deliveries
Step1: Define the earnings formula
Let \( d \) be the number of deliveries. Earnings \( E = 60 + 12d \). We need \( E \geq 204 \), so \( 60 + 12d \geq 204 \).
Step2: Solve the inequality
Subtract 60 from both sides: \( 12d \geq 204 - 60 = 144 \). Then divide by 12: \( d \geq \frac{144}{12} = 12 \).
Step3: Check each option
- 2 deliveries: \( 2 < 12 \) → no.
- 8 deliveries: \( 8 < 12 \) → no.
- 10 deliveries: \( 10 < 12 \) → no.
- 13 deliveries: \( 13 \geq 12 \) → yes.
- 17 deliveries: \( 17 \geq 12 \) → yes.
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13 deliveries, 17 deliveries