# Exponents Word Problem

• Sep 28th 2011, 04:22 PM
habibixox
Exponents Word Problem
http://webwork.rutgers.edu/webwork2_...ff8a01d641.png represent the expected score for a student who studies http://webwork.rutgers.edu/webwork2_...5b59f2bc11.png hours for a test. Suppose http://webwork.rutgers.edu/webwork2_...a09ca89fa1.png 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?
• Sep 28th 2011, 04:35 PM
pickslides
Re: Exponents Word Problem
Hi there, was that the whole question?
• Sep 28th 2011, 04:37 PM
habibixox
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?
• Sep 28th 2011, 04:50 PM
pickslides
Re: Exponents Word Problem
Quote:

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.

Quote:

Originally Posted by habibixox
If the student does not study, what score can he expect?

substitute t=0 into the equation
• Sep 28th 2011, 04:56 PM
habibixox
Re: Exponents Word Problem
Should I derive the equation to find maximum then?
• Sep 28th 2011, 05:02 PM
pickslides
Re: Exponents Word Problem
I found the maximum by looking at the equation, what is the range of $1-e^{-0.44t}$ for $t>0$ ?
• Sep 28th 2011, 05:04 PM
habibixox
Re: Exponents Word Problem
ohhhhh!
ok :D thanks so much I got it from here!
• Sep 28th 2011, 05:08 PM
habibixox
Re: Exponents Word Problem
t= 24 ... highest achieved will be a 98
t=0 .... lowest/ without studying will be 65 thanks!
• Sep 28th 2011, 05:13 PM
pickslides
Re: Exponents Word Problem
Nice work!