Question

Writing an equation given two points" to solve the following problem: A vendor has learned that, by pricing ? his deep fried bananas on a stick at $1.50?, sales will reach 110? per day. Raising the price to $2.50? will cause the sales to fall to ?70? per day. Let y be the number of ? the vendor sells at x dollars each. Write a linear equation that models the number of ? sold per day when the price is x dollars each. The linear equation is y = .

Answer 1

Answer:

y = -40x + 170

Step-by-step explanation:

In this problem, we are given two points in order to form a linear equation.

The points (in the (x,y) format) are P1 (1.50, 110) and P2 (2.50, 70).

The first step is to find the slope (m) applying both points to the general form of a linear equation:

$(y - y_{0}) = m(x - x_{0}) \\110 - 70 = m(1.50-2.50)\\ 40 = -m \\m=-40$

Applying P1 and m to the general linear equation gives us an equation that models the number of deep fried banana sales by their price:

$y-110 = -40(x-1.50)\\y = -40x + 170$