Question

Explain of how you got the answer for this work

Answer 1

Mariah's investement is growing faster

Explanation:

Here to find the rate at which the savings are growing at, we have to observe the slope of the line which describes the line representing the savings of each as a function of time.

The slope of a line is given by the relation;

`m = (y2 - y1)/(x2 - x1)`

Where m is the slope.

(x1,y1) is any point on the curve.

(x2,y2) is any other point on the curve.

Let's start of with Mariah by picking any 2 points from the table.

(0,150)

(1,159)

`m(mar) = (159 - 150)/(1 - 0) = (9)/(1) = 9`

Let's move on to Mauricio's line and choose 2 points that lie on that line.

(0,190)

(1,195.7)

`m(mau) = (195.7 - 190)/(1 - 0) = (5.7)/(1) = 5.7`

By looking at both slopes, we see that Mariah's growth rate (slope) 9>Mauricio's growth rate (slope) which is 5.7