Mr. Imani wants to purchase paper and notebooks for his classroom. At dollar discount he can buy packs of paper, P, for $1.25 each and notebooks, N, for $2.59 each. This is modeled by $1.25P + $2.50N. Evaluate for P =100 and N = 30 to find how much it will cost Mr.Imani to purchase 10 packs of paper and 30 notebooks.
A. $450.00
B. $43.75
C. $62.50
D. $87.50
There seems to be a slight mistake in your question regarding the price of the notebooks. You said that notebooks, N, are $2.59 each, but the equation you provided uses $2.50. I will proceed with the price from the provided model ($2.50 per notebook).
The model for the total cost is $1.25P + $2.50N.
Given:
P = 100 packs of paper
N = 30 notebooks
Substitute the values of P and N into the model:
Total cost = $1.25 * 100 + $2.50 * 30
= $125 + $75
= $200
This is the total amount for 100 packs of paper and 30 notebooks. If Mr. Imani intends to buy 10 packs of paper, we need to adjust the calculation accordingly:
Total cost for 10 packs of paper and 30 notebooks = $1.25 * 10 + $2.50 * 30
= $12.50 + $75
= $87.50
The correct amount it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks is $87.50, which is option D.