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Remember, the coach1) needs to buy at least 4 bats and atleast 8 balls2) cannot spend more than $12012-4 8y2880-0x 241215x + 5y s 120Which combination could the coach buy?Click on the correct answer.6 bats, 10 balls3 bats, 10 balls4 bats, 9 balls

Remember, the coach1) needs to buy at least 4 bats and atleast 8 balls2) cannot spend-example-1

1 Answer

5 votes

x represent the number of bats

y represent the number of balls

The inequalities are

x ≥ 4

y ≥ 8

15x + 5y ≤ 120

To determine the combination that the coach should buy, we would substitute the values of x and y in the different combinations. We have

For x = 6, y = 10

15(6) + 5(10) = 140

This is greater than 120

For x = 3, y = 10,

15(3) + 5(10) = 95

This is less than 120 but x is less than 4

For x = 4, y = 9,

15(4) + 5(9) = 105

The cost is less than 120 and the conditions for x and y are satisfied. Thus, the correct option is

4 bats,

User Chrisamiller
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