Question

The cost of a taxi fare is $3 plus $1.50 per kilometer travelled.
a. Derive a formula for calculating the cost $p of travelling n km.
b. Use your formula to calculate the cost of travelling 15 km. ​

Answer 1

Answer:

Given:

Fare of taxi for first km = 30

Increase in taxi fare for each aditional km = ₹12

To find:

The chare after travelling for 50 km

Calculation:

The fare for the taxi increases by 12 Rs for each addition km and the fare for the first km is 30 Rs. This can be solved by relating the data to arithmetic progression

First term(a) = 30

Common difference(d) = 12

Number of terms(n) = 50

Charge after travelling 50 km = n/2[2a+ (n-1)d]

= (50/2)[2(30)

= 25(60+588)

= 25(648)

= 16,200

The charge after travelling for 50 km is Rs 16,200

Step-by-step explanation:

• please make it a brainliest answer.

Answer 2

Step-by-step explanation:

The #3# mile cab ride includes a basic charge as well as the cost for the distance covered.

For a #6# mile trip, the cost is #$4.80# which means that :

The cost of #3# miles is #$4.80-$3.00 = $1.80#

Therefore the cost for #1# mile is #$1.80div3= $0.60#

The basic fee for hiring the cab is #$3.00-$1.80 = $1.20#

So the total cost, #c# for a trip of #d# miles will be:

#c = 0.6d +1.2#

Check:

If #d = 3#

#c = 0.6(3)+1.2 = 3#

If #d=6

c = 0.6(6)+1.2 = 4.8