Question

1. It's either B or D

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.


A. c(p) = p + 0.42

B. c(p) = 42p

C. c(p) = p/0.42

D. c(p) = 0.42p

Answer 1

D. c(p) = 0.42p

Explanation:

total cost = .42(P)

Example: 5 lbs

$2.10 = $.42(5)

c(p) = 0.42p <== ur function

Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought

p = pounds of sugar

c(p) is a function of p, because c(p) depends on p.

Answer: The function rule that gives the total cost is given by

Explanation:

Let the number of pounds of sugar be 'p'.

Let the total cost would be C(p).

Cost of each pound = $0.42

So, the function rule would be

Hence, the function rule that gives the total cost is given by