Pu l l I t A l l T o g e t h e r
To so l ve t h e se
problems you
will pull t og et her
many concept s
and sk i l l s t h at
you have st ud i ed
about systems
of equations and
inequalities.
Co m p l et i n g t h e Per f o r m a n ce Task
Look back at your results from the Apply What You've Learned section in Lessons 6-2 and
6 - 6. Use the work you did to complete the following.- Solve the problem in the Task Description on page 363 by finding the number of
minutes Ashley should use each exercise machine, and the maximum number of
minutes Miguel can use the rowing machine. Show all your work and explain each step
of your solution. - Reflect Choose one of the Mathematical Practices below and explain howyou applied
it in your work on the Performance Task.
MP 1: Make sense of problems and persevere in solving them.
MP 2: Reason abstractly and quantitatively.
MP 4: Model with mathematics.
On Yo u r Ow n
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her
trainer wants her on an exercise program that meets these two conditions:- Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes, dividing
her time between the ski machine and the treadmill. - Brittany will spend at least three times as much time on the treadmill as on the ski
machine.
a. Write a system of inequalities that models the relationships between the amounts of
time Brittany spends on the two machines.
b. Find the minimum number of minutes Brittany can spend on the treadmill.
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