Question

Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x. Maris earns a

monthly salary of $4,000 plus a 4% commission on her sales, X. For what value of sales, x, will Jose's earnings be greater than Maris' earings?
Choose the inequality that could be used to solve this problem.
O a
3,500 + 6x > 4,000 + 4x
Ob
3,500 + 0.6x > 4,000 + 0.4x
Oc
3,500 + 0.06x < 4,000 + 0.04x
Od
3,500 + 0.06x > 4,000 + 0.04x

Can someone plzzzz help me?

Answer 1

Answer: d.3,500 + 0.06x > 4,000 + 0.04x

Explanation:

Hi, to answer this question we have to write each inequality:

Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x.

So, his monthly earnings must be equal to the sum of the fixed monthly salary ($3500) plus the product of the number of sales (x) and the commission percentage in decimal form (divided by 100):

So:

Jose’s earnings: 3,500 + x (6/100)

Jose’s earnings: 3,500 + 0.06x

Maris earns a monthly salary of $4,000 plus a 4% commission on her sales.

So, her monthly earnings must be equal to the sum of the fixed monthly salary ($4000) plus the product of the number of sales (x) and the commission percentage in decimal form (divided by 100):

Maris’ earnings: 4000+ x (4/100)

Maris’ earnings: 4000+ 0.04 x

Since Jose's earnings must be greater than Maris' earnings

3,500 + 0.06x >4000+ 0.04 x