Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two. Write the equation that can be used to determine the number of price decreases, x, in dollars, for which the daycare center has a daily revenue of $2,800.

A (60 + 2x) (50 - 4x) = 2,800

B (60 - 4x) (50 + 2x) = 2,800

C (60 - 2x) (50 + 4x) = 2,800

D (60 + 4x) (50 - 2x) = 2,800

Question

Mathematics

Darwin Sheppard

4 March, 03:23

Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two. Write the equation that can be used to determine the number of price decreases, x, in dollars, for which the daycare center has a daily revenue of $2,800.

A (60 + 2x) (50 - 4x) = 2,800

B (60 - 4x) (50 + 2x) = 2,800

C (60 - 2x) (50 + 4x) = 2,800

D (60 + 4x) (50 - 2x) = 2,800

+4

Answers (2)

Know the Answer?

Cunningham · Answer 1

B. the first set of parenthesis is money and the second is children. theyre supposed to together. and they are in B. in very positive that its b

Orlando Woodward · Answer 2

The answer is B) (60 - 4x) (50 + 2x) = 2,800

The revenue without any change in price is:

$60/student x 50 students = 3,000

Every price drop reduces the price/student by four, so the first term, which describes the fee per student, is 60 - 4x

Every price drop also increases the number of students by two, so the second term, which describes the number of students, is 50 + 2x