SOLUTION: a vendor has learned that, by pricing caramel apples at $1.50, sales will reach 94 caramel apples per day. raising the price to $2.50 will cause the sales to fall to 42 caramel app

Algebra ->  Finance -> SOLUTION: a vendor has learned that, by pricing caramel apples at $1.50, sales will reach 94 caramel apples per day. raising the price to $2.50 will cause the sales to fall to 42 caramel app      Log On


   

Question 1000601: a vendor has learned that, by pricing caramel apples at $1.50, sales will reach 94 caramel apples per day. raising the price to $2.50 will cause the sales to fall to 42 caramel apples per day. let y be the number of caramel apples the vendor sells at x dollars each. write a linear equation that models the number of caramel apples sold per day y when it comes to the price x dollars each
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description can help to form a simple data table for two linear points.
x           y
1.5         94
1.5+2.5     94-42

These are points, (1.5,94) and (3,52).

A neat way to setup the equation is to use both formula for slope and the linear equation in point-slope form using the second point:

highlight_green%28y-52=%28%2852-94%29%2F%283-1.5%29%29%28x-3%29%29

Simplify from there into general form.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a vendor has learned that, by pricing caramel apples at $1.50, sales will reach 94 caramel apples per day. raising the price to $2.50 will cause the sales to fall to 42 caramel apples per day. let y be the number of caramel apples the vendor sells at x dollars each. write a linear equation that models the number of caramel apples sold per day y when it comes to the price x dollars each
Equation: highlight_green%28y+=+-+52x+%2B+172%29