Question

The parking charge for vehicles in super Delhi Metro is Rs. 20 for first two hours and Rs. 10 for subsequent hours. Assume total parking time to be x hours. (where x ≥ 2) and total parking charge as y. write the linear equation for the above relation and draw graph. Find the parking charges for 5 hours from the graph.

Answer 1

Answer:  

C = 10x, x > 2  

Step-by-step explanation:  

Hi,  

Given that the parking charges( per hour) for vehicles  

in Super Delhi Metro is Rs 20 for the first 2 hour.  

Given that the parking charge is Rs 10 for subsequent  

hours.  

Assume total parking time = x hours  

Let Total Parking Charges be represented by C,  

Any linear function will be in the form  

y = mx + k form, where m and k are constants  

Since C and x form linear equation ,  

C will be in the form  

C = mx + k------------(1)  

Given that if x = 2 hours, then C = Rs 20  

SO, 20 = 2m + k------(2)  

If x = 3 hrs, then C would be  

Rs 20(Charge for 2 hours) + Rs 10 (Extra charge for subsequent  

hour) = Rs 30  

So, 30 = 3m + k---------(3),  

Solving (2) and (3), we get  

m = 10 and k = 0,  

So, C = 10x  

Hence, If x > 2, then the linear equation is  

C = 10x.

Hope, it helps !