Question

The value of a collectible toy car is increasing exponentially. The two points on the graph show the toy car’s initial value and its value 2 weeks afterward.

Answer 1

Answer:

Translating to the question, the toy's value as a function of time is

$t = ab^{w}$

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

$5= a.b^{0}$

a = 5

Now, (3,10) to determine b:

$10=5b^{3}$

$b=\sqrt[3]{2}$

b = 1.26

The toy's value as a function of time in weeks is t = $5.(1.26)^{w}$

Step-by-step explanation: