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Find the model of the total cost of Company A’s plan, using for the minutes.
Find the model of the total cost of Company B’s plan, using for the minutes.
Find out how many minutes of calling would make the two plans equal.
300 min
If the person makes a monthly average of 200 min of calls, which plan should for the person choose?
For the following exercises, use this scenario: A wireless carrier offers the following plans that a person is considering. The Family Plan: $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $40 for each device for up to 2 GB of data per device. The Mobile Share Plan: $120 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $35 for each device up to a shared total of 10 GB of data. Use for the number of devices that need data plans as part of their cost.
Find the model of the total cost of the Family Plan.
Find the model of the total cost of the Mobile Share Plan.
Assuming they stay under their data limit, find the number of devices that would make the two plans equal in cost.
6 devices
If a family has 3 smart phones, which plan should they choose?
For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.
If we let be the amount the woman invests in the 15% bond, how much will she be able to invest in the CD?
Set up and solve the equation for how much the woman should invest in each option to sustain a $6,000 annual return.
Two planes fly in opposite directions. One travels 450 mi/h and the other 550 mi/h. How long will it take before they are 4,000 mi apart?
4 h
Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?
Fiora starts riding her bike at 20 mi/h. After a while, she slows down to 12 mi/h, and maintains that speed for the rest of the trip. The whole trip of 70 mi takes her 4.5 h. For what distance did she travel at 20 mi/h?
She traveled for 2 h at 20 mi/h, or 40 miles.
A chemistry teacher needs to mix a 30% salt solution with a 70% salt solution to make 20 qt of a 40% salt solution. How many quarts of each solution should the teacher mix to get the desired result?
Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest and part at 12% interest. How much does Paul need to invest in each option to make get a total 11% return on his $20,000?
$5,000 at 8% and $15,000 at 12%
For the following exercises, use this scenario: A truck rental agency offers two kinds of plans. Plan A charges $75/wk plus $.10/mi driven. Plan B charges $100/wk plus $.05/mi driven.
Write the model equation for the cost of renting a truck with plan A.
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