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?
Α. y = 5/18x
B. y = 18/5x
C. y = 5x + 18
D. y=18x + 5

Answer 1

Answer: Here is a step by step

Explanation:

We can use the formula for the slope-intercept form of a linear function, which is:

y = mx + b

where m is the slope and b is the y-intercept.

In this situation, the ramp has a height, h, of 15 inches when the base length, l, is 54 inches. We can use this information to find the slope of the linear function as follows:

m = rise / run = h / l = 15 / 54

To simplify this fraction, we can divide both the numerator and denominator by 3:

m = 5 / 18

So the slope of the linear function is 5/18.

Now we need to find the y-intercept, b. We know that when the base length, l, is 0, the height, y, is also 0 (since there is no ramp). This gives us:

y = mx + b

0 = (5/18)(0) + b

b = 0

Therefore, the linear function that models this situation is:

y = (5/18)x

So the answer is option A: y = 5/18x.