17 April, 08:56

# Joanna uses the function p = (n) = 30n - 450 to calculate the profit, p, in dollars that she makes from selling n cakes in her store.1. Write a formula for a function to calculate the number of cakes Joanna needs to sell for a given profit.2. Calculate the minimum number of cakes that Joanna must sell to make a profit of at least \$500.00.Enter your answers in the spaces provided. Enter only your answers.Formula: n = - 1 (p) =Minimum number of cakes:

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1. 17 April, 10:31
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a) n = (p + 450) / 30

b) The Minimum number of cakes is 32

Step-by-step explanation:

Given that:

p = 30n - 450, where p is the profit in dollars from selling a number of cakes

(n).

a) to calculate the number of cakes (n) needed to be sold for a given profit, we need to make the number of cakes (n) the subject of formula for the equation.

p = 30n - 450

p + 450 = 30n - 450 + 450

30n = p + 450

Dividing through by 30:

30n / 30 = (p + 450) / 30

n = (p + 450) / 30

b)

If the profit is at least \$500, the Minimum number of cakes (n) is:

n > (p + 450) / 30

n > (500 + 450) / 30

n > 950 / 30

n > 31.67

n ≈ 32

The Minimum number of cakes is 32