Question

1. callie has a small business making dessert baskets. she estimates that her fixed weekly costs for rent and electricity are $200. the ingredients for each dessert basket cost $2.50. slope: ______ y - int: ____ equation: __________________ if callie’s total costs for the week were $562.50, how many dessert baskets did she make?

Explanation:

Step1: Identify slope and y - intercept

The cost per dessert basket is the slope. So slope $m = 2.5$. The fixed weekly cost is the y - intercept. So $b = 200$.

Step2: Form the linear equation

The linear - cost equation is $y=mx + b$, substituting $m = 2.5$ and $b = 200$ gives $y = 2.5x+200$.

Step3: Solve for x when y is given

We know $y = 562.50$. Substitute into the equation $562.50=2.5x + 200$.
Subtract 200 from both sides: $562.50−200=2.5x$, so $362.50 = 2.5x$.
Then divide both sides by 2.5: $x=\frac{362.50}{2.5}=145$.

Answer:

• slope: $2.5$
• y - int: $200$
• Equation: $y = 2.5x+200$
• Number of dessert baskets: $145$