Question

Spencer plants a 7-inch tomato plant in his garden. The plant grows by about 15% per week for several months. Which formula represents the height h of the tomato plant (in inches) as a function of the time t in weeks since it was planted

Answer 1

Answer:

$h(t) = 7(1.15)^{t}$

Step-by-step explanation:

The equation for the plant's height after t weeks has the following format:

$h(t) = h(0)(1+r)^{t}$

In which h(0) is the initial height and r is the rate it increases per week, as a decimal.

Spencer plants a 7-inch tomato plant in his garden.

This means that $h(0) = 7$

The plant grows by about 15% per week for several months.

This means that $r = 0.15$. So

$h(t) = h(0)(1+r)^{t}$

$h(t) = 7(1+0.15)^{t}$

$h(t) = 7(1.15)^{t}$