Question

Robert sells electronics on commission. He receives 15% of his first $950 in sales and 19% of the balance of his sales.
a.) Write an algebraic equation to represent his sales, x, and commission, y, assuming his sales were greater than $950.
b.) What were his total sales if he earned $313.50 in commission.

Answer 1

Considering the situation described, we have that:

a) The algebraic equation is: y = 142.5 + 0.19(x - 950).

b) His sales were of $1,850.

What is the algebraic equation for the situation?

We have to consider that:

• He receives 15% of his first $950. This amount is of 0.15 x 950 = 142.5.

• Then, for the balance of the sales, that is, the amount in excess of $950 given by x - 950, the amount is of 19%.

Hence the algebraic equation is:

y = 142.5 + 0.19(x - 950).

What are his sales when he earns $313.50 in commission?

This means that y = 313.50, hence we have to solve for x to find his sales.

y = 142.5 + 0.19(x - 950).

313.5 = 142.5 + 0.19(x - 950).

0.19x = 351.5

x = 351.5/0.19

x = $1,850.

His sales were of $1,850.

More can be learned about algebraic equations at https://brainly.com/question/2972832

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