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Maths-

General

Easy

Question

A group of students participated in a study. It was determined that for each hour of experience performing a certain task, the time necessary for each student to complete the task decreased by 5%. Wendy took 30 minutes to complete the task with no experience. Which function models the amount of time T, in minutes, it will take Wendy to complete the task after x hours of experience?

$T = 30 (0.05)^{x}$
$T = 30 (0.50)^{x}$
$T = 30 (0.95)^{x}$
$T = 95 (0.30)^{x}$

The correct answer is: $T equals 30 left parenthesis 0.95 right parenthesis to the power of x end exponent$

To show any kind of decrease in terms of percentage, we write 1 - 5% = 0.95
Explanations:
Step 1 of 1:
Wendy took 30 minutes to complete the task with no experience. We are asked to find the amount of time, T, in minutes.
And with each hour of experience performing a certain task, the time necessary for each student to complete the task decreased by 5% i.e., the decrease factor would be of 1 - 5% = 0.95
So, with these observations and looking at the given options, the suitable function is—
$T equals 30 open parentheses 0.95 close parentheses to the power of x end exponent$
Final Answer:
The right option is — $T equals 30 open parentheses 0.95 close parentheses to the power of x end exponent$

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