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.
To evaluate the expression 2,500 + 100t for t = 12, substitute t = 12 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.(1 point)
To evaluate the expression 720 - 10s^2 for s = 7, substitute s = 7 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)
To evaluate the expression 7(l + 2w) for l = 5 and w = 2, substitute l = 5 and w = 2 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 would be $63.
To find out how much Ms. Tanaka will earn for selling 12 televisions this month, we can substitute t = 12 into the expression 2,500 + 100t.
Evaluating for t = 12, we have:
2,500 + 100(12)
= 2,500 + 1,200
= $3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
To evaluate how much Ms. Tanaka will earn for selling 12 televisions this month, we substitute the value of t, which is 12, into the expression 2,500 + 100t:
Earnings = 2,500 + 100(12)
Next, we simplify the expression:
Earnings = 2,500 + 1,200
Finally, we calculate the sum:
Earnings = 3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.