Question

Moses has a bakery, and he is expecting a new shipment of flour today.

The number of loaves, N, that Moses will bake today given that he receives k kilograms of flour is given by the

function N(k) = 10 + 3k.

The income, I, in dollars, that Moses makes from baking x loaves of bread is given by I(x) = 6x.

Find an explicit expression that models Moses's income for the day if he receives k kilograms of flour.

Answer 1

I = 60 + 18k

Explanation:

Data provided in the question:

The function for number of loaves, N that Moses bake

⇒ N(k) = 10 + 3k

here,

k is the kilograms of floor received

and,

Income in dollars, I(x) = 6x

here, x is the number of loaves baked

thus,

when k kilograms of flour is received,

x = N(k) = 10 + 3k

substituting x in income function,

we get

I = 6(10 + 3k)

or

I = 60 + 18k