A group of students began an email-writing campaign to support a city proposal to build a new park. As news of their campaign spread, more people each day wrote emails in support of the park. The numbers of emails the city received for Days 2, 3, and 4 are shown on the grid.
The function that models the data is f (x) = 16(1.5) ^x. What is the y-intercept of the graph of the function?
To find the y-intercept of the graph of the function, we need to evaluate f(x) when x=0.
Substituting x=0 into the function f(x) = 16(1.5) ^x, we have:
f(0) = 16(1.5) ^0
Since any number raised to the power of 0 is always 1, we can simplify the expression:
f(0) = 16(1)
Therefore, the y-intercept of the graph of the function is 16.