Suppose you earn $12 each time you mow the lawn which function describes the relationship between your total earnings E and the number of times you mow the lawn, m

Question

1.E(m) = m + 12
2. m + 12E
3.E(m) = m - 12
4. E(m) = 12m

Answer 1

4. E(m) = 12m

Answer 2

explain why

Answer 3

The given problem states that you earn $12 each time you mow the lawn. This means that your earnings are directly proportional to the number of times you mow the lawn. The formula for directly proportional relationships is y = kx, where "y" is the dependent variable (total earnings), "x" is the independent variable (number of lawn mows), and "k" is the constant of proportionality (how much you earn per lawn mow).

In this case, "k" is equal to $12, since that is the amount earned per lawn mow. Therefore, the equation for the relationship between your earnings E and the number of times you mow the lawn, m, can be written as:

E = km

Substituting $12 for "k", we get:

E = $12m

This is the same as:

E(m) = 12m

So, the correct function that describes the relationship between your total earnings E and the number of times you mow the lawn, m, is E(m) = 12m.