Nelson grows tomatoes and sells them at a nearby farmers roadside stand. He sells them for $2.50 each. The farmer charges him $15 a day to use the stand. Write a linear function in factored form and general form that represents the amount of money, m, Nelson will make from selling x tomatoes.

Question

Mathematics

Cara Lee

11 March, 22:57

Nelson grows tomatoes and sells them at a nearby farmers roadside stand. He sells them for $2.50 each. The farmer charges him $15 a day to use the stand. Write a linear function in factored form and general form that represents the amount of money, m, Nelson will make from selling x tomatoes.

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Carson Good · Answer 1

Step-by-step explanation:

Nelson grows tomatoes and sells them at a nearby farmers roadside stand.

Let x = number of tomatoes sold

Let m = amount of money made for selling x tomatoes.

He sells them for $2.50 each. This means that he sells x tomatoes for 2.5*x = $2.5x

The farmer charges him $15 a day to use the stand. This means that he pays a constant amount of $15 each day.

Amount of money that Nelson will make will be total amount made in selling x tomatoes minus the constant amount being paid for rent. It becomes

m = 2.5x - 15 This is the general form. In the factored form, it will be

m = 2.5 (x+6)