Question

Radius (in.), x Height (in.), h(x)
1 5
3 13
5 21
10 41
Model rockets are created in various sizes.



The height of a rocket in inches, h(x)
hx, depends on the radius of the base of the rocket in inches, x
x.



Use the table to write an equation for h(x)
hx that outputs the height of the rocket with a base radius of x

Answer 1

Look for a linear pattern. Differences: from x=1→3, h increases 8; 3→5, h increases 8; 5→10, h increases 20 — slope = 8/2 = 4.

Using one point, e.g. (1,5): 5 = 4(1) + b → b = 1.

So h(x) = 4x + 1 (check: x=3 → 13, x=5 → 21, x=10 → 41).