Question

Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries.

Answer 1

The inequality that represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries is:

-1.8x² - 1.61x + 217.55 > 255

How to solve Inequality word problems?

Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.

The number of 20-cent increases in the cost of a package of strawberries can be gotten from:

(2.29 + 0.2x)(95 - 9x) > 255

217.55 - 20.61x + 19x - 1.8x² > 255

-1.8x² - 1.61x + 217.55 > 255

Complete question is:

Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries?

Answer 2

-1.8x² - 1.61x - 37.45 > 0

Explanation:

Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries?

Answer:

The cost of packaging 95 packages of strawberries is $2.29(95)=$217.55.

20-cent increase in the cost of a package of strawberries leads to 9 less packages to be sold. If x represent the number of 20-cent increases in the cost of a package of strawberries. the cost of packaging is:

Cost = (2.29 + 0.2x)(95 - 9x)

For a revenue of atleast $255:

(2.29 + 0.2x)(95 - 9x) > 255

217.55 - 20.61x + 19x - 1.8x² > 255

-1.8x² - 1.61x + 217.55 > 255

-1.8x² - 1.61x + 217.55 - 255 > 0

-1.8x² - 1.61x - 37.45 > 0