Question

The graph below shows the prices of different numbers of boots at a store: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 25, 50, 75, 100, and 125. Points are shown on ordered pairs 0, 0 and 2, 25 and 4, 50 and 6, 75 and 8, 100. These points are connected by a line. The label on the x axis is Number of Boots. The title on the y axis is Price in dollars. Which equation can be used to determine p, the cost of b boots? p = 12.50b p = 25b b = 25p b = 12.50p

Answer 1

The answer is p=12.50b

Explanation:

The reason for this is because the price is equal to how many boots, b, times 12.50, so you would right this as p=12.50b

Answer 2

b=12.50p

Explanation:

Given :

x y

0 0

2 25

4 50

6 75

8 100

10 125

To Find: Which equation can be used to determine p, the cost of b boots?

Solution :

Using point slope form Find the equation of line of the given coordinates

Let
`(x_(1) , y_(1))=(0,0)`

Let
`(x_(2) , y_(2))=(2,25)`

So, formula :
`y-y_(1) =(y_(2)- y_(1))/(x_(2)- x_(1)) *(x-x_(1))`

`y-0 =(25-0)/(2-0) *(x-0)`

`y= 12.50x`

Now we are given that cost of b boots is p

Since we are given that x axis is Number of Boots and y in price

So in the equation put x = b and y = p

So, equation : b=12.50p

Hence Option 4 is correct