Timed
from x = 0 to x = 2, which of the following best describes the growth of the two functions below?
first grpah is y=5x second is y=5^x
a y=5x grows grows slower than y=5^x
b y=5x grows faster than y=5^x
c y=5^x grows at the same rate as y=5x
d y=5^x grows over a different interval than y=5x

The correct option is A.

Step-by-step explanation:

The given functions are

The slope of a function is defined as

In first function, at x=0

At x=2

Growth rate of first function is

Therefore the growth rate of y=5x is 5 from x = 0 to x = 2.

In second function, at x=0

At x=2

Growth rate of first function is

Therefore the growth rate of y=5^x is 12 from x = 0 to x = 2.

So we can say that y=5x grows slower than y=5^x.

Therefore option A is correct.

step-by-step explanation:

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