A bicycle ramp used for competitions is a triangular prism. The volume of the ramp

is 313.2 cubic feet. Write and solve an

equation to find the width of the ramp.

Possible student work:

V=Bh

13.4ft

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is