# Math Help - Exponents Word Problem

1. ## Exponents Word Problem

represent the expected score for a student who studies hours for a test. Suppose and test scores must be integers.

Would you solve this like an absolute value equation and have one positive and one negative equation, or no? How should I start. I plugged in k. How can I find the two values?

2. ## Re: Exponents Word Problem

Hi there, was that the whole question?

3. ## Re: Exponents Word Problem

Oh. I'm sorry!
Basically they want us to find the lowest/highest test scores.

Here is the remainder of the problem.
What is the highest score the student can expect?

If the student does not study, what score can he expect?

4. ## Re: Exponents Word Problem

Originally Posted by habibixox
What is the highest score the student can expect?
Find the maximum of the equation for t>0, plot the equation to find the value by inspection or use some calculus.

Originally Posted by habibixox
If the student does not study, what score can he expect?
substitute t=0 into the equation

5. ## Re: Exponents Word Problem

Should I derive the equation to find maximum then?

6. ## Re: Exponents Word Problem

I found the maximum by looking at the equation, what is the range of $1-e^{-0.44t}$ for $t>0$ ?

7. ## Re: Exponents Word Problem

ohhhhh!
ok thanks so much I got it from here!

8. ## Re: Exponents Word Problem

t= 24 ... highest achieved will be a 98
t=0 .... lowest/ without studying will be 65 thanks!

Nice work!