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 $2.50 each. This is modeled by 1.25p + 2.50n
. Evaluate for p = 10
and n=30
to find how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks. (1 point)
To evaluate the expression 1.25p + 2.50n when p = 10 and n = 30, we substitute these values into the expression:
1.25(10) + 2.50(30)
= 12.50 + 75
= $87.50
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.
The formula for finding the volume of a square prism is s2h
, where s
is the length of each side of the square base and h
is the height of the prism. Evaluate to find the volume given values of s = 4
and h = 6
.(1 point)
To evaluate the expression s²h when s = 4 and h = 6, we substitute these values into the expression:
4² * 6
= 16 * 6
= 96
Therefore, the volume of the square prism is 96 cubic units.
Each month Ms. Tanaka is paid a base salary of $2,500 in addition to $100 for each television that she sells. This is modeled by 2,500 + 100t
, where t
represents the number of televisions. Evaluate for t = 12
to find how much Ms. Tanaka will earn for selling 12 televisions this month.(1 point)
To evaluate the expression 2,500 + 100t when t = 12, we substitute these values into the expression:
2,500 + 100(12)
= 2,500 + 1,200
= $3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 − 10s2
when s = 7
.
To evaluate the expression 720 - 10s² when s = 7, we substitute these values into the expression:
720 - 10(7)²
= 720 - 10(49)
= 720 - 490
= 230
Therefore, Robert will have 230 square inches of space left for his presentation if he uses squares with 7-inch sides.
Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7(l + 2w)
, where l
is the length and w
is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.(1 point)
Responses
To evaluate the expression 7(l + 2w) when l = 5 and w = 2, we substitute these values into the expression:
7(5 + 2(2))
= 7(5 + 4)
= 7(9)
= $63
Therefore, the cost for a garden that has a length of 5 yards and a width of 2 yards is $63.
To evaluate the expression 1.25p + 2.50n for p = 10 and n = 30, plug in the given values into the expression.
Substitute p = 10 and n = 30 into the expression 1.25p + 2.50n:
1.25(10) + 2.50(30)
Now, we can solve:
1.25(10) = 12.50
2.50(30) = 75.00
Therefore, the expression evaluates to:
12.50 + 75.00 = 87.50
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.