Question

1) The graph shown models the scenario below:

15000
! After opening a savings account, Mariah started
saving the same amount each month.
---------------- -- - ---- -----
10000
Define the variables. Then find and interpret the slope
and y-intercept in order to write its equation.
-5000
y:
100
Slope:
Meaning of the slope:
y-intercept:
Meaning of the y-intercept:
Equation:​

Answer 1

133

Explanation:

Answer 2

The variables include the following:

x: the number of months.

y: amount saved.

Slope: 150

Meaning of the slope: It indicates an increase in the amount saved by 150.

y-intercept: 1000.

Meaning of the y-intercept: It is the initial amount of money Mariah saved.

Equation:​ y = 150x + 1000.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

First of all, we would determine the slope for this line by using these points (0, 1000) and (20, 4000);

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (4000 - 1000)/(20 - 0)

Slope (m) = 150

The slope indicates that the amount saved by Mariah increases by $150 each month.

At data point (0, 1000) and a slope of 150, an equation for this line can be calculated by using the point-slope form as follows:

`y - y_1 = m(x - x_1)`

y - 1000 = 150(x - 0)

y = 150x + 1000

In conclusion, the y-intercept is 1000 and it represents the initial amount of money Mariah started saving.