The number of students enrolled at a college is 15,000 and grows 4% each year. the percentage rate of change is 4%, so the growt
1 answer:
Answer:
The growth factor b is 1.04
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
where
y ---> is the number of students enrolled at a college
x ----> the number of years
a is the initial value or y-intercept
b is the growth factor
b=(1+r)
r is the rate of change
we have
therefore
The exponential function is equal to
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<u>Given</u>:
Given that the function
We need to determine the function to evaluate when x = -5.
<u>Function</u>:
The function is given two interval. The interval means that x takes all values less than or equal to 3.
And the interval means that x takes all values greater than 3.
We need to determine the function that takes the limit when x = -5.
From the two limits, the limit x = -5 lie in the interval because the interval takes all x values less than or equal to 3.
Hence, the function is
Thus, Option A is the correct answer.
Answer:
b. 4:35 p.m
Step-by-step explanation:
Her speed in t minutes after 4:30 p.m. is modeled by the following equation:
In which v(0) is her speed at 4:30 pm and a is the acceleration.
At 4:30 p.m. she looks down at her speedometer and notices that she is going 45 mph.
This means that
Ten minutes later she looks down at the speedometer again and notices that she is going 55 mph.
This means that
So
So
When was she moving exactly 50 mph?
This is t minutes after 4:30 p.m.
t is found when v(t) = 50. So
5 minutes after 4:30 p.m. is 4:35 p.m.
So the correct answer is:
b. 4:35 p.m