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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.

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Answer:

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

[tex]t = ab^{w}[/tex]

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

First, (0,5) to find a:

[tex]5= a.b^{0}[/tex]

a = 5

Now, (3,10) to determine b:

[tex]10=5b^{3}[/tex]

[tex]b=\sqrt[3]{2}[/tex]

b = 1.26

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

Step-by-step explanation:

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