ANSWER
The y-coordinate for the y-intercept is 7.54
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
[tex]y = 75.4(1.08) ^{x} [/tex]
To find the y-intercept of this function, we just have to substitute x=0 into the function.
[tex]y = 75.4(1.08) ^{0} [/tex]
Note that, any non-zero number exponent 0 is 1.
Therefore
[tex] y = 75.4(1)[/tex]
[tex]y = 75.4[/tex]
The y-intercept is
[tex](0,75.4)[/tex]