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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.

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Formula: n = - 1 (p) =

Minimum number of cakes:

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Answers (1)
  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

    Adding 450 to both sides:

    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
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