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

D. c(p) = 0.42p

Step-by-step 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.

The function rule that gives the total cost is given by

Step-by-step 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

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.