Dan will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $73.98 and costs an additional $0.07 per mile driven. the second plan has an initial fee of $0.12 per mile driven. how many miles for the two plans to cost the same?

Step-by-step explanation:

   First plan has an initial fee of $73.98 and an additional $0.07 per mile, while the second plan has a cost of $0.12 per mile.

   The total cost in first plan can be modeled linearly in number of miles as .

   The total cost in second plan can be modeled linearly in number of miles as

   For both the plans to cost the same,

miles

∴ On travelling 1479.6 miles, both the plans cost the same.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

step-by-step explanation: