Question

What is the y-coordinate of the y-intercept for the exponential function y=75.4(1.08)^x

Answer 1

The y-coordinate for the y-intercept is 7.54

Step-by-step explanation

The y-intercept is the point at which the graph meets the y-axis.

At this point,the x-coordinate is 0.

The given function is

`y = 75.4(1.08) ^(x)`

To find the y-intercept of this function, we just have to substitute x=0 into the function.

`y = 75.4(1.08) ^(0)`

Note that, any non-zero number exponent 0 is 1.

Therefore

`y = 75.4(1)`

`y = 75.4`

The y-intercept is

`(0,75.4)`