Question

Nicole compares two printing plans for business cards. Which equation gives the correct value of n, the number of business cards, for which Plans A and B cost the same?

Plan A: No initial fee $0.10 per business card
Plan B: $25 for the first 200 business cards $0.05 for each additional card

Answer 1

Answer:

0.10(n)=25+0.05(n-200)

Step-by-step explanation:

The number of business cards are n

Plan A: No initial fee and $0.10 for each business card

Plan B: $25 for the first 200 business cards

and surplus of $0.05 for each additional card

As n is total business cards

so from plan A equation is

0.10(n)

from plan B

25 + 0.05(n-200)                         ........ iff n > 200

Now as a whole the equation for no of business cards would be

0.10(n)=25+0.05(n-200)

Answer 2

The equation that represents when both plans would cost the same is $25 + $0.05(n - 1) = $0.10n.

What is the equation that represents the number of cards that both plans cost the same?

Equation that represents the total cost of n cards for plan A  = price per card x total number of cards

= $0.10 x n

= $0.10n

Equation that represents the total cost of n cards for plan B = initial fee x fee for additional cards

$25 + ($0.05 x n - 1)

$25 + $0.05(n - 1)

The value of n when both plans cost the same = $25 + $0.05(n - 1) = $0.10n

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