Question

a bamboo shoot is 20 inches tall at day 0 and grows 24 inches each day. which function(s) shown below can be used to determine height, f(n), of bamboo after n days

Answer 1

Because it starts at 20, that will be your base number

We know it grows 24 in. per day, but we dont know how many, so then we use n

so 20 + 24n

Explanation:

20 + 24n

Answer 2

f(n) = 20 + 24n

Explanation:

In slope-intercept form, y = mx + b, where m is the slope and b is the y intercept, you need to input the values you are given. f(n) is your "y" here.

The tricky part here is finding "b". Well, at the start, the bamboo shoot is 20 inches tall, so if you think about it, the equation should start with 20, which will be your "b".

Finally, you must show how the bamboo shoot will grow taller by 24 inches each day. Days in this case will be "n", which is like "x" in the general slope-intercept equation, and 24 is your slope ("m"). This will be positive because the height is increasing.

y = 24x + 20 ⇒ f(n) = 20 + 24n