here is the question
1) suppose the length of a rectangle is 3 inches longer than the width and that
the perimeter of the rectangle is 78.
a) Set up an equation involving only W, the width of the rectangle.
Answer:
b) Solve this linear equation algebraically to find the width of the rectangle. Find the
length as well.
Answer: Length ______, Width ______
Show your work here:
c) Using the same length you have as your answer on part b), find a new perimeter
if the new width is 4 more than one-third of the length.
Answer:
Explain your work here in one or two sentences:
3) A tennis club offers two payment options:
Option1: $35 monthly fee plus $4/hour for court rental
Option 2: No monthly fee but $6.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x
for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so that the monthly cost of
option 1 is less than option 2. Set up an inequality and show your work
algebraically using the information in part a).
Answer:
Show your work here:
c) Summarize your findings in a brief sentence.
Answer: