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)
$43.75
$62.50
$87.50
$450.00
To find the cost, we substitute the values of p = 10 and n = 30 into the expression 1.25p + 2.50n:
1.25(10) + 2.50(30)
= 12.50 + 75
= 87.50
Therefore, the cost for Mr. Imani to purchase 10 packs of paper and 30 notebooks is $87.50.
To find the volume, we substitute the values of s = 4 and h = 6 into the formula s^2h:
(4^2)(6)
= 16(6)
= 96
Therefore, the volume of the square prism with s = 4 and h = 6 is 96 cubic centimeters.
To find the earnings, we substitute the value of t = 12 into the expression 2,500 + 100t:
2,500 + 100(12)
= 2,500 + 1,200
= 3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
To find the cost for the garden, we substitute the values of l = 5 and w = 2 into the expression 7(l + 2w):
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 find the space left for Robert's presentation, we need to calculate the area of 10 squares with 7-inch sides and subtract that from the total area of the poster board, which is 720 square inches.
The area of one square is given by s^2, where s represents the length of each side.
Area of one square = 7^2 = 49 square inches
Area of 10 squares = 10 * 49 = 490 square inches
Space left for Robert's presentation = 720 - 490 = 230 square inches
Therefore, Robert will have 230 square inches of space left for his presentation.
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)
$31,200
$2,600
$2,612
$3,700
The formula for finding the volume of a square prism is
s
2
h
, 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)
576 cubic centimeters
144 cubic centimeters
96 cubic centimeters
48 cubic centimeters
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 − 10
s
2
when
s = 7
.(1 point)
580 square inches
230 square inches
9,940 square inches
34,790 square inches
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)
$98
$63
$16
$39