Heather has $500 in her savings account. She withdraws $20 per week for gas. Write an equation Heather can use to see how many weeks it will take her to have a balance of $220

Respuesta :

Since she has a base amount of $500, that will be your y-intercept. 20 is going to be your slope, and since she's withdrawing it, it will be -20. Here's how the equation would be set up (in y = mx + b):

-20x + 500 = 220

*Subtract 500 from both sides*

-20x = -280

*Divide both sides by -20*

x = 14.

Therefore, it will take 14 weeks.

By using slope -intercept equation, It will take Heather to have a balance of $220 in 14 weeks.

What is slope-intercept equation?

"The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b."

Since she has a amount of $500 in her savings account, that will be used as y-intercept. 20 is slope, and since she's withdrawing it, it will be -20. Here's how the equation can be written as

Slope intercept form y = mx + b

500 -20x= 220

-20x= 220 - 500

-20x = -280

x = [tex]\frac{-280}{-20}[/tex]

x = 14.

Therefore, it will take Heather to have a balance of $220 in 14 weeks.

Learn more about slope-intercept form here

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