Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 1-11 employees at a shipping company earn $60 plus $12 per del…

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

Explanation:

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.

Answer:

13 deliveries, 17 deliveries