Solve the problem.
-Jacey, a commissioned salesperson, earns $420 base pay plus $49 per item sold. Express Jaceyʹs grosssalary G as a function of the number x of items sold.
A)G(x)= 49x + 420
B)G(x)= 420x +49
C)G(x)= 49(x + 420)
D)G(x)= 420(x + 49)

Question

Quizplus · Accepted Answer

The problem states that the gross salary G is a function of the number of items sold x, and that the base pay is $420 while the commission is $49 per item sold. Therefore, the function can be expressed as G(x) = 49x + 420. Option A is the only choice that matches this expression. Option B would be incorrect because it implies that the base pay is $49, while option C and D multiply the commission rate by the base pay, which is not correct. Jacey earns a base pay of $420 and an additional $49 for each item sold. This means that the total amount earned is dependent on the number of items sold, which is represented by the variable x. Therefore, the function that represents Jacey's gross salary as a function of the number of items sold is G(x) = 49x + 420.

Solve the Problem. -Jacey, a Commissioned Salesperson, Earns $420 Base Pay Plus $49