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Answer :
Answer: y-100= 0.25(x-160)
Step-by-step explanation:
Given: Charge per mile = $0.25
Total amount driver pays = $100
Number of miles he drove = 160 miles
Total cost = Flat fee + ( Number of miles he drove) (Charge per mile) ...(i)
i.e. 100= Flat fee + (160)(0.25)
⇒ Flat fee = 100 - (160)(0.25)
If y= total cost , x= number of miles, then
y= ( 100 - (160)(0.25))+ (x)(0.25) [Substitute value of flat fee in (i)]
⇒ y= 100 - (160)(0.25)+ (x)(0.25)
⇒ y-100= (x)(0.25)- (160)(0.25)
⇒ y-100= 0.25(x-160)
Hence, the required equation: y-100= 0.25(x-160)
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Final answer:
The correct equation that represents the driver's total cost y in terms of the number of miles driven x for the given rental car company is y = 0.25x + 60.
Explanation:
The subject of this question is mathematics, and it is related to linear equations in one variable in specific. A company charges a flat fee for renting a car plus an additional fee per mile driven. The total cost y is comprised of the flat fee and the fee per mile (0.25) times the number of miles driven x.
This situation can be represented algebraically by the following equation: y = 0.25x + flat_fee.
Given that a driver pays $100 in total for driving 160 miles, the flat fee can be found by subtracting the mileage cost from the total cost, i.e., flat_fee = $100 - 0.25 * 160 = $60.
Therefore, the correct equation representing the total cost y in terms of the number of miles driven x is y = 0.25x + 60. None of the options provided in the question exactly match this equation.
Learn more about Linear Equations here:
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