The equation that represents the relationship between the number of weeks, x, and the total amount of money, y, Josie will have saved is given by y - 7x = 13 and this can be determined by using the point-slope form of the line.
Given :
- Josie currently has $13 and plans to save an additional $7 each week to buy a jacket.
- She made a table showing the total amount of money she will have saved for different weeks.
- Number of weeks 0 3 5 7
- Amount o money 13 34 48 62
The two-point-slope form of the line can be used in order to determine the equation that represents the relationship between the number of weeks, x, and the total amount of money, y, Josie will have saved.
The point-slope form of the line is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, substitute the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.
[tex]\dfrac{y-13}{x-0}=\dfrac{34-13}{3-0}[/tex]
Simplify the above equation by cross multiplying.
y - 13 = 7(x)
y - 7x = 13
Therefore, the correct option is c).
For more information, refer to the link given below:
https://brainly.com/question/2263981
