bety started a savings account with the money her grandma gave her for christmas. she had $98 in her account after three months and after 6 months she had $122

Question

Definition of the variables including the vocabulary independent variable and dependent variable.

Determine the slope and y intercept the linear equation in slope intercept form table of values 

Answer 1

Money as a function of time.

The dependent variable is amount of money.

The independent variable is time.

 

We have 2 points on the line:

(3, 98), (6, 122)

 

slope: m= (122-98)/(6-3) = 8

y = mx + b

y = 8x + b

Let's use (3, 98) as (x, y) to find the y-intercept b.

 

98 = 8(3) + b

b = 98-24 = 74 .... y-intercept

 

y = 8x + 74 .... equation of line