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: Our required linear equation would be [tex]x+48y=148[/tex]Step-by-step explanation:Since we have given that Cost of deep fried bananas on a stick = $1.00Number of sales reached = 100 per dayCost of deep fried bananas on a stick becomes = $2.00Number 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:[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148[/tex]Hence, our required linear equation would be [tex]x+48y=148[/tex]