Question

Help plzz i will give you brianliest

Answer 1

Answer:

A) The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by 1.8

Step-by-step explanation:

We are given the function, $f(x) = 3(1.8)^x$.

First, we will substitute x= 0 in the function.

So, we get,

$f(x) = 3(1.8)^x$ implies $f(0) = 3(1.8)^0$ i.e. f(0)= 3

Thus, the graph of the function passes through the point (0,3).

Also, we get the table of the values as,

x                            $f(x) = 3(1.8)^x$                   Difference in f(x) values

1                            $f(1) = 3(1.8)^1= 5.4$                      9.72-5.4 = 4.32

2                           $f(2) = 3(1.8)^2= 9.72$                  17.496 -9.72= 7.776

3                           $f(3) = 3(1.8)^3= 17.496$            1.4928-17.496=13.997

4                           $f(3) = 3(1.8)^4= 31.4928$

As, we have,

The factor of increase in the y-values = $\frac{7.776}{4.32}$ = $\frac{13.997}{7.776}$ = 1.8

Thus, we get, the correct option is,

A)The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by 1.8