Question

The graph below shows the prices of different numbers of sunglasses at a store:

Which equation can be used to determine p, the cost of s sunglasses?


haha.. help

Answer 1

we can see that

curve is a straight line

y-axis is price(p)

x-axis is number of glasses (x)

so, firstly we will find slope

we can select any two points

(0,0) and (2,9)

x1=0, y1=0 , x2=2 , y2=9

`m=(y_2-y_1)/(x_2-x_1)`

now, we can plug values

`m=(9-0)/(2-0)`

`m=(9)/(2)`

now, we can use point slope form of equation

`y-y_1=m(x-x_1)`

so, we can plug it

`y-0=(9)/(2)(x-0)`

`y=(9)/(2)x`

now, y is p

so, we get our equation as

`p=(9)/(2)x`................Answer