Question

John ordered a large three topping pizza for $7.50 and a large 8 topping pizza for $10. Write an equation in slope intercept form to describe the situation.

Answer 1

`y=0.5x+6`

Step-by-step explanation

Step 1

`\begin{gathered} \text{large pizza(3 toppings)}\rightarrow7.5 \\ \text{large pizza( }8\text{ toppings)}\rightarrow10 \\ \text{then we have 2 points of the line} \\ (3,7.5) \\ (8,10) \end{gathered}`

Step 2

find the slope

the slope is given by:

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}`

Let

P1(3,7.5)

P2(8,10)

replace

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(10-7.5)/(8-3)=(2.5)/(5)=0.5 \\ \text{slope}=0.5 \end{gathered}`

Step 3

usin P1 (3,7.5) ans m= 0.5 find the equation

`\begin{gathered} y-y_1=m(x-x_0) \\ \text{replace} \\ y-7.5=0.5(x-3) \\ y-7.5=0.5x-1.5 \\ y=0.5x-1.5+7.5 \\ y=0.5x+6 \end{gathered}`

I hope this helps you