Restaurant Receipts Cards - Highland Park ISD

Situation Problems Involving Systems
Algebra 2
HS Mathematics
Unit: 05 Lesson: 01
1. The band booster club is selling coffee and hot chocolate at the soccer games. Both drinks are
sold in the same paper cup. They sold $272.25 worth of hot drinks and used a total of 275
cups at the last game. If hot chocolate sells for $1.25 and coffee sells for $.75, how many of
each type of hot drinks did they sell?
2. Susie is going to purchase a new freezer. One brand costs $1800 and estimates $60 per
month to operate. A more expensive brand costs $2600, but only costs $40 per month to
operate.
a. Write an equation representing the cost of each freezer in terms of months owned.
b. Find the total cost of each after 1 year, 2 years, and 3 years.
c. Plot the graph of each on the same axes.
d. Find the break-even point for the two freezers. When does this occur? What is this
cost?
e. If Susie plans on keeping this freezer for five years, which freezer would be the most
economical? Explain.
3. Treebolt High School is running an inventory of graphing calculators. They have two types, TI-
83 + and TI-83 + Silver Edition. Records show they purchased 350 calculators for a total of
$37,750. If TI-83 + costs $95 and TI-83 + Silver Edition costs $125, how many of each type of
calculator should the school have in inventory?
4. One brand of car with a regular engine costs $21,500 to purchase, and 32 cents per mile to
operate. The same car with a fuel-injection engine costs $22,500 to purchase and only 29
cents per mile to operate.
a. Write an equation for each particular car comparing total cost in terms of miles
operated.
b. Calculate the cost of operating each vehicle for 1,000, 10,000, and 50,000 miles.
c. Plot the graph of each on the same axes.
d. Find the break-even point for the two vehicles. At what mileage does this occur? What
is this cost?
e. If Trey switches cars after 40,000 miles, which car would be the most economical?
Explain.
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