Let’s solve each problem one by one. We’ll look at the equations that are circled in red — those are the ones we need to answer.
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Problem 1: y = 1200(1 + 0.04)^x
This is an exponential growth or decay equation. The general form is:
>
y = a(1 + r)^x
> - If
r > 0, it’s
growth
> - If
r < 0, it’s
decay
Here,
r = 0.04, which is positive → so this is
exponential growth.
✔ Answer for #1:
Growth
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Problem 3: y = 575(1 - 0.68)^x
Again, use the same rule.
Here,
r = -0.68 (because it’s 1 - 0.68) → negative → so this is
exponential decay.
✔ Answer for #3:
Decay
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Problem 5: y = 1000(1 - 0.12)^x
Same idea.
r = -0.12 → negative →
exponential decay
✔ Answer for #5:
Decay
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Final Answer:
1. Growth
3. Decay
5. Decay
Parent Tip: Review the logic above to help your child master the concept of exponential growth and decay worksheet answers.
