Question

Geneva is saving for a new dress. She already has $20 saved and

intends to save $7 each week. The equation for the amount of
money y she has saved is y = 7x + 20, where x is the number of
weeks. What do the slope and y-intercept represent?

Answer 1

The Slope(Slope = 7) represents the amount by which her savings increases per week.

The Y-intercept(Y intercept = 20) represents her initial savings before starting this process of saving 7$ per week.

Explanation:

Given,

Initial Savings = 20$,

Additional savings per week = 7$,

Assuming 'x' no. of weeks passed by, her savings would be,

Total savings(y) = Initial Savings + Added Savings

y = 20$ + 7
`*`
`x`

y = (7x + 20)$

This is an equation of a straight line.

We know that,

For a line in the Slope Intercept form(y = mx + c)

The slope is m and the y-Intercept is c.

Therefore here,for the y = 7x +20 equation,

Slope = 7 = Change in Added Savings per week.

Y-Intercept = 20 = Initial Savings.