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Mathematics 49 Online
OpenStudy (elisaneedshelp):

Please and thank you :) Juan will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven. The second plan has an initial fee of $70 and costs an additional $0.10 per mile driven. How many miles would Juan need to drive for the two plans to cost the same?

OpenStudy (anonymous):

the answer is 70.00 dollars

OpenStudy (elisaneedshelp):

I dont believe so ._.

OpenStudy (elisaneedshelp):

@IrishBoy123

OpenStudy (elisaneedshelp):

Nvm I got it :)

OpenStudy (irishboy123):

we need to build an equation for each plan and then compare them. i'll do it for the first plan let me be the number of miles driven. let C = total cost so, we can say for the first plan that: C = 0 + 0.6m that is, no initial fee, but $0.6 per mile driven can you now do that for the second plan?

OpenStudy (irishboy123):

ah, ok, well done!

OpenStudy (elisaneedshelp):

Can you help me with another one tho? :c

OpenStudy (elisaneedshelp):

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $51,316 , and the variable costs will be $9.50 per book. With the other method, the one-time fixed costs will total $15,784 , and the variable costs will be $21.25 per book. For how many books produced will the costs from the two methods be the same?

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