Question

You go to a local mechanic to get your tires changed. The tires cost $300 each....

You go to a local mechanic to get your tires changed. The tires cost $300 each. There is a 6% sales tax, but you get a 10% discount.

9. Write a function, t(x) for the total purchase amount after taxes but before discounts and fees.

A  t(x)=1.06x
B  t(x)=6 + x
C  t(x)=x + .06
D  t(x)=6x
E  t(x)=.06x
F  t(x)=x + 6x


10. Write a function, d(x) to account for the total after discounts on purchase amount x but before taxes and fees.

A  d(x)=x - 10
B  d(x)=x - .10x
C  d(x)=x/.10x
D  d(x)=x + 10x
E   d(x)=x + .10
F   d(x)=x - 10x


11. Does it make a difference in the total price whether the mechanic adds the tax first d(t(x)) or takes the discount first t(d(x))? Show the work to support your answer.

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