Question

Hazel plans to mow her neighbors' yards to earn money. She charges a base fee of $24 and $8 for every hour she mows. The amount she earns per yard can be represented by the linear function M(t) = 8t + 24. What is the value of M(2), and what is its interpretation?

M(2) = 40; If Hazel mows 2 yards, she will earn $40.
M(2) = 40; If Hazel mows a yard for 2 hours, she will earn $40.
M(2) = 16; If Hazel mows a yard for 2 hours, she will earn $16.
M(2) = 16; If Hazel mows 2 yards, she will earn $16.

Answer 1

M(2) = 40; If Hazel mows a yard for 2 hours, she will earn $40. Option B

How to determine the value

Given the expression;

M(t) = 8t + 24

Where;

• M is the amount

• t is the time in hours

To determine M(2), we substitute the value of t as 2

We have;

M(2) = 8 (2) + 24

M(2) = 16 + 24

Add the values

M(2) = $40

The interpretation is that in 2 hours, the amount she earns per yard is $40

Thus, M(2) = 40; If Hazel mows a yard for 2 hours, she will earn $40. Option B

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