Amina recently moved and got a new job. The quickest way to get to work is to take a freeway that charges a toll. There are two options for paying the tolls. Option A: No monthly fee, each trip on the tollway is $2.80. Option B: $30 monthly fee, each trip on the tollway is half-priced at $1.40. A-Write a linear model for Option A showing the total cost, C, in dollars, for x trips on the tollway. B-Write a linear model for Option B showing the total cost, C, in dollars, for x trips on the tollway.
Construct and investigate the patterns and relationships present in linear, quadratic, cubic, exponential, logarithmic, rational, radical, piecewise, and absolute value functions.
1- Amina recently moved and got a new job. The quickest way to get to work is to take a freeway that charges a toll. There are two options for paying the tolls.
Option A: No monthly fee, each trip on the tollway is $2.80.
Option B: $30 monthly fee, each trip on the tollway is half-priced at $1.40.
A-Write a linear model for Option A showing the total cost, C, in dollars, for x trips on the tollway.
B-Write a linear model for Option B showing the total cost, C, in dollars, for x trips on the tollway.
C-How many trips on the tollway are needed for Option B to be cheaper? Show your work or explain how you found this number.
D-If Amina plans to travel to and from work 5 times a week which option, should she purchase? (assume a month has 4 weeks) Show your work and explain in words why you choose the option that you choose.
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