Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 22
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386-2 Substitution
Since the solution for x is less than 0, there is never a year after 2000 that the winning times for the men and
women will be the same if the current trend continues.
Booker is buying tickets online for a concert. He finds tickets for himself and his friends
for $65 each plus a one-time fee of $10. Paula is looking for tickets to the same concert. She finds them at another
Web site for $69 and a one-time fee of $13.60.
a. Define the variables, and write equations to represent this situation.
b. Create a table of values for 1 to 5 tickets for each person s purchase.
c. Graph each of these equations.
Use the graph to determine who received the better deal. Explain why.
d.
a. Let x = number of tickets purchased and let y = the cost. Booker s equation is y = 65x + 10 and Paula s equation
is y = 69x + 13.60.
b. Booker s table is the following.
c. Both equations are in slope-intercept form.
y = 65x + 10
y = 69x + 13.60
Page 22
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