The Brown's are renting a home and are planning to set up their trash service. They are considering two local companies. Company
A charges a $50 setup fee and $15 per month. This can be represented by the linear function C = 15x + 50. Company B charges $100 for the setup fee and $12 per month. This can be represented by the linear function C = 12x + 100. They are planning to rent their home and use trash service for 6 months. Which statement is true?
A) The cost of using Company B is the same as the cost of using Company A.
B) The cost of using Company B is $32 less than the cost of using Company A.
C) The cost of using Company A is $32 less than the cost of using Company B.
D) The cost of using Company B is $18 less than the cost of using Company A.
Eliminate
A) The cost of using Company B is the same as the cost of using Company A.
B) The cost of using Company B is $32 less than the cost of using Company A.
C) The cost of using Company A is $32 less than the cost of using Company B.
D) The cost of using Company B is $18 less than the cost of using Company A.
Eliminate
2 answers:
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Answer:
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
=
We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
=
Finally, subtract the two fractions to find the difference between the two times:
=
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.