A rental car company charges drivers a flat fee to rent a car plus $0.25 for each mile they drive. If a driver pays $100 and drives 160 miles, which equation can he use to find his total cost y in terms of the number of miles
driven x? SELECT ALL THAT APPLY
y = 25.2 + 100
y = .25x+ 140
y = .25x + 160
y - 100 = 25(x – 160)
0.25x + 100y = 160
25x – y = 14000

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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