Question

Sierra is building a skateboard ramp. She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches. Which linear function models the situation?

Answer 1

794.1 ÷ 7.61 = 104.34954
Round off to two decimal places:
104.349
round 4 up to 5 because the next number is greater than 5:
9 > 5
So
= 104.35

Answer 2

`f(x)=(5)/(18)x+54`

Explanation:

• Ramp height: 15 inches.
• Ramp base: 54 inches.

The height is represent by y, and the base length is represented by x.

A linear function is defines by its slope, which is the ratio of the vertical change and horizontal change. In this case, that ration is between the height and the base length:

`m=(15)/(54)=(5)/(18)`

Now, the given linear relation intercept the vertical axis at y = 15, because the height is above the point of reference. So, using the point-slope formula, we have

`y-y_(1)=m(x-x_(1))\\y-54=(5)/(18)(x-0)\\y=(5)/(18)x+54`

Therefore, the linear function is

`f(x)=(5)/(18)x+54`