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vova2212 [387]
3 years ago
14

A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by th

e function y = 40 90x. Which statement represents the meaning of each part of the function? (1) y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month. (2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month. (3) x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month. (4) x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.
Mathematics
1 answer:
Marat540 [252]3 years ago
5 0
<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
y = 40 + 90x

y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.

Let us assume that the number of months of service is 10 months. then, the total cost would be:

y = 40 + 90(10)
y = 40 + 900
y = 940
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In a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.
Komok [63]

Answer:

Each shirt cost $12

Step-by-step explanation:

First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.

6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41

Hence we have two equations, and we solve them simultaneously.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the

2(6s+3t=79.5)

12s+6t=159 Equation 3

3(3s+2t=41)

9s+6t=123 Equation 4

We subtract equation 4 from equation 3.

12s+6t=159

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Divide both sides by 3

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