Modeling Campground Financials with Linear Equations

This table shows the seasonal revenue and expenses of Whispering Willows Campground over the last year.

Campground Financials

Season | Revenue | Expenses

Spring | $33,000 | $21,100

Summer | $72,400 | $54,700

Fall | $41,600 | $29,100

Winter | $14,500 | $21,100

Mrs. Woods manages the campground. She found that the annual revenue and annual expenses were approximately unchanged from year to year. Mrs. Woods wants to write an equation using the variable $x$ to figure out how many years it will take for the campground's all-time total revenue to be $200,000 more than its all-time total expenses.

How should Mrs. Woods define the variable $x$?

$x = \text{annual revenue}$

$x = \text{monthly expenses}$

$x = \text{number of years since the campground opened}$

$x = \text{the year the campground opened}$

Which equation can Mrs. Woods use to find how many years it will take for the campground's all-time total revenue to be $200,000 more than its all-time total expenses?

$161,500x + 200,000 = 126,000x$

$126,000x + 200,000 = 161,500x$

$(147,000 - 104,900)x = 200,000$

$(126,000 + 200,000)x = 161,500x$

This question includes visual content: A table titled 'Campground Financials' containing four rows representing seasons (Spring, Summer, Fall, Winter) and two columns for 'Revenue' and 'Expenses' with monetary values, followed by two separate multiple-choice questions regarding the definition of a variable and the formation of a linear equation.