## A company uses this formula to work out the cost, £A, of a taxi ride. A = 5 + 1.9m + b £5 is a fixed charge

Question

A company uses this formula to work out the cost, £A, of a taxi ride.

A = 5 + 1.9m + b

£5 is a fixed charge

m is the number of miles travelled

£b is a charge for booking online

a) Harry books a taxi online and travels 12 miles.

He pays £29.48 altogether.

How much is the charge for booking online?

b) If Sue books online and travels 20 miles, what will be

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3 years 2021-08-16T22:41:46+00:00 1 Answers 51 views 0

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

Where,

A = total cost

m = number of miles travelled

£b = charge for booking online

£5 = fixed charge

A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

29.48 = 27.8 + b

29.48 – 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

= 5 + 38 + 1.68

= 44.68

A = £44.68