Question

school lunch amanda has $210 in her school lunch account. she spends $35 each week on school lunches. the equation y = 210 - 35x represents the total amount in amandas school lunch account y for x weeks of purchasing lunches.
find the x - and y - intercepts and interpret their meaning in the context of the situation.
the x - intercept is
this means that after
weeks, amanda will have $
in her school lunch account.
the y - intercept is
this means that there was initially $
in amandas school lunch account.

Explanation:

Step1: Find the x - intercept

Set y = 0 in the equation y = 210 - 35x. Then 0=210 - 35x. Solving for x:
35x = 210, so x = 6. This represents the number of weeks it takes for the lunch - account balance to reach 0.

Step2: Find the y - intercept

Set x = 0 in the equation y = 210 - 35x. Then y=210 - 35×0 = 210. This represents the initial amount of money in Amanda's school lunch account.

Answer:

The x - intercept is 6. This means that after 6 weeks, Amanda will have $0 in her school lunch account.
The y - intercept is 210. This means that there was initially $210 in Amanda's school lunch account.