Tom is 77 inches tall and shrinking at a rate of 0.75% every eyar. How tall will he be after 15 years?

Whats the exponential function

The exponential funtion is "height(n) = 77*(0.9925)^n". After 15 years he is 68.7778 inches.

Step-by-step explanation:

Since Tom's initial height is 77 inches. After one year:

height(1) = 77*(1 - 0.0075) = 77*0.9925

After two years:

height(2) = height(1)*(0.9925) = 77*0.9925*(0.9925) = 77*(0.9925)²

After three years:

height(3) = height(2)*0.9925 = 77*(0.9925)²*0.9925 = 77*(0.9925)³

And so on, therefore the expression that represents his height is:

height(n) = 77*(0.9925)^n

Where n is the number of elapsed years. For 15 years we have:

height(15) = 77*(0.9925)^(15) = 68.7778 inches

The exponential funtion is "height(n) = 77*(0.9925)^n". After 15 years he is 68.7778 inches.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.