Question

Use your knowledge of the process of "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 $1.00, sales will reach 100 per day. Raising the price to $2.00 will cause the sales to fall to 52 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.

Answer 1

Answer: Our required linear equation would be
`x+48y=148`

Explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)\\\\y-1=(2-1)/(52-100)(x-100)\\\\y-1=(1)/(-48)(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148`

Hence, our required linear equation would be
`x+48y=148`