Math Problem Statement
Solution
The image contains four math problems asking for expressions or functions to represent given scenarios.
Problem III
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Adam managed to find an offer of PLN 9 for the activation of a computer. Shop earns additional PLN 8 on each activated device.
- Write a formula to represent the total profit the shop earns after activating devices.
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Ananda family had PLN 1080 of fixed charges for maintenance of their family car a month.
- Express the total cost as a function of number of family members using the car.
Problem IV
- Write the price-time function for the given problem:
- A computer shop charges 75 zł per hour for the first two hours and an additional 10 zł per hour for each subsequent hour. Express the total computer rental fee using the function , where is the number of hours you spend on the computer.
Solutions:
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For Adam's profit formula: Here, 9 PLN for each device + 8 PLN additional profit per device.
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For Ananda family's maintenance cost formula:
If factors are static, this becomes linear at ( C(x) = y + any_other_measurable_factor_in_zlotys+additional_hourly_ways_formulaT(x) means charges_total/rentals).]
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Piecewise Functions
Formulas
P(x) = 9x + 8x
C(x) = 1080 + additional members' costs
T(x) = 75(2) + 10(x - 2) for x > 2
Theorems
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Suitable Grade Level
Grades 7-9
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