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Svetach [21]
3 years ago
9

The table shows how Levon spends his time at the gym. Over the course of a week, he wants to spend 600 minutes at the gym. How m

uch more time will he spend lifting weights than on the treadmill? Explain your reasoning.
Mathematics
1 answer:
sergeinik [125]3 years ago
8 0
600 minutes at the gym divided by a total of 60 minutes equals 10. 10 times 25 minutes on the treadmill equals 250 minutes. 10 times 35 minutes lifting weights equals 350 minutes. He’s going to spend 100 more minutes lifting weights than on the treadmill per week.
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nika2105 [10]

Answer:

A. f(x)=3(\frac{1}{2})^x

Step-by-step explanation:

The options are:

A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

f(x) = a^x

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If  bf(x) and  b>1, then the function is stretched vertically by a factor of "b".

2. If   bf(x)  and 0, then the function is  compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

f(x)=3(\frac{1}{2})^x

Where the factor is:

b=3

And 3>1

7 0
3 years ago
Read 2 more answers
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