Using y=0.01(1.07^x), predict the sales for when it was 98 degrees to the nearest hundredth.

To predict the sales when it was 98 degrees using the given equation:

\[
y = 0.01(1.07^x)
\]

we substitute \( x = 98 \) into the equation:

\[
y = 0.01 \times (1.07^{98})
\]

Now, let's calculate the value of \( y \).The predicted sales when it was 98 degrees is approximately \( 7.58 \).

Would you like more details or have any questions? Here are some related questions:

1. What would the sales be for a different temperature, like 85 degrees?
2. How does the growth rate of 1.07 affect the sales prediction?
3. What would happen if the initial sales value (0.01) was different?
4. How would a change in temperature by 1 degree affect the sales prediction?
5. Can we determine the temperature when sales reach a certain value?

**Tip:** In exponential growth models, small changes in the exponent can lead to large changes in the output due to the exponential nature of the function.

Explore how to predict sales using the exponential growth model y = 0.01(1.07^x), specifically calculating sales when it was 98 degrees. Understand the impact of exponential growth on sales predictions. Suitable for high school students studying exponential functions.

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