Question

A $400,000 house increases its value at 2.25% each year. in the exponential model of the form , which value would represent the value of a in the function?

Answer 1

Answer:

$a=\ 400,000$

Step-by-step explanation:

We have been given that a $400,000 house increases its value at 2.25% each year. We are asked to find the value of a for our function.

We know that exponential growth function is in form $y=a\cdot b^x$, where,

a = Initial value,

b = For growth b is in for (1+r), where r represents growth rate in decimal form.

$2.25\%=\frac{2.25}{100}=0.0225$

Upon substituting our given values, we will get:

$y=\ 400,000\cdot (1+0.0225)^x$

$y=\ 400,000\cdot (1.0225)^x$

Therefore, the value of a is $400,000 for our given function.

Answer 2

An exponential equation is represented through the equation; 

y=abˣ

Here, a represents the starting value/point and 
b represents the number by which the equation exponentially increases/decreases by. 

In the given situation, a would be represented by the number $400,000.

Hope I helped :)