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A homeowner hires electricians for $28 per hour and painters for $16 per hour. The total cost must be no...

Question 8
A homeowner hires electricians for $28 per hour and painters for $16 per hour. The total cost must be no more than $560. Let x be electrician hours and y be painter hours. Which inequality models the budget?
○ 28x + 16y < 560
○ 16x + 28y ≤ 560
○ 28x + 16y ≤ 560
○ 28x + 16y ≥ 560
Question 9
A student has $55 saved toward a device costing $220 and saves $15 each week.
Write a linear equation on scratch paper using w for weeks, then solve it. How many whole weeks are needed to reach the price exactly? Enter only the number of weeks.

Answer

  1. Question 8: The correct inequality is 28x + 16y ≤ 560 because the total cost must be no more than $560.

  2. Question 9: The linear equation is 55 + 15w = 220. Solving for w gives:

    15w = 220 - 55

    15w = 165

    w = 165 / 15

    w = 11

    The student needs 11 whole weeks to reach the price exactly.

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