Question

jamie started saving for a new pair of basketball shoes he already had 20 dollars from his birthday and has saved the same amount each week since then, as shown in the table.week |. balance 1. 252. 303. 354. 40which expression can be used to find out how much money jamie has saved after w weeks ?A. 5+wB.5wC.5w+20D.5w+25

Answer 1

Given that he has saved the same amount each week, then the expression has the form of a line

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

In the context of this problem, the y-intercept is the initial amount of money, that is, b = 20

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

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

The line passes through the points (1, 25) and (2, 30), then its slope is:

`m=(30-25)/(2-1)=5`

Therefore, the equation is:

y = 5w + 20