Mrs. andretti is having new drapes made for her living room. the cost of the fabric is $15 per yard. the fee to make and hang the drapes is $250. she uses the expression 15x + 250 to calculate the total cost of the drapes. mrs. andretti states that x represents the total cost of the fabric. is she correct?

No

Step-by-step explanation:

X does not represent the cost of fabric. X represents the number of yards of fabric used.

15x + 250

Could be read as ($15 × # of yards) + $250

So she has to pay $15 per yard of fabric plus an additional $250 base amount for having them made and hung in the first place.

She could use an additional variable to represent the cost of fabric.

Example: Y

Y= 15x

Cost of fabric is equal to $15 per yard × # of yards.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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step-by-step explanation:

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