At lincoln library there are two ways to pay for copying. you can pay 11 cents a copy, or you can buy a plastic card for $5 and then pay 6 cents a copy. let x be the number of copies you make. write an equation for your costs for each way of paying. (express c(x) in dollars.) c(x) = without card c(x) = with card (a) how many copies do you need to make before buying the plastic card is the same as cash? copies (b) if you wish to make 95 copies, which way of paying has the least cost? o with card othey are the same o cannot be determined without card

Without card: C(x) = .11x

With card: C(x) = 5 + .06 x

a) 100 copies

b) Without card.

Step-by-step explanation:

If x is the number of copies you make and you don't have a card, it will cost you 11 cents per copy = .11x

C(x) = .11x

If you do have a card, each copy will cost you 6 cents, therefore it will cost you .06x plus the 5 dollars you paid for the card.

C(x) = 5 +.06x

a) How many copies do you need to make before buying the plastic card is the same as cash? We need both equations to be the same:

Therefore we will need 100 copies.

b) If you wish to make 95 copies, which way of paying has the least cost?

Without card:

C(95) = .11(95) = 10.45

With card:

C(95) = 5 + .06(95) = 5 + 5.7 = 10.7

The least cost would come paying without card.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|