Given:
The graph of an exponential function.
To find:
The function in the form of
.
Solution:
The general form of an exponential function is
...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,



For x=1 and f(x)=7,

Putting a=4, we get


Substitute a=4 and
in (i).

Therefore, the required exponential function is
.
Answer: The maximum the average can be for all the guests at the birthday party is 2 minutes 57 seconds.
Step-by-step explanation:
Since the ratio of adults to children is 4:1, then it follows that:
4/5 of the people are children
1/5 of the people are adults
A weighed average of the times would give:
1 minute 25 seconds = 85 seconds [for 1/5 of the people (the adults)]
3 minutes 20 seconds = 200 seconds [for 4/5 of the people (the children)]
(85 x 1/5) + (200 x 4/5) = 177 seconds
Therefore, the maximum the average can be for all the guests at the birthday party is 2 mins 57 secs.
Answer: 16w^2 + 2w
Step-by-step explanation: Simplify the expression.
Hope this helps you out.
-Leif Jonsi-
Yes, it is B. As the hour increases by 1, the snow on the ground (in cm) increases by 2.