Tim uses his lorry to deliver turf
you can use this graph to find the delivery costs for different distances.
For each delivery there is a fixed charge plus a charge for distance
A) how much is the fixed charge?
Tim makes two delvers of turf. The distance of one delivery is 20 miles more than the distance of the other delivery.
B) What is the difference between the two delivery costs?

Tim uses his lorry to deliver turf you can use this graph to find the delivery costs for different distances For each delivery there is a fixed charge plus a ch class=

Respuesta :

A) 12 pounds

B) 28 pounds

Step-by-step explanation:

Step 1 :

It is given that there is a fixed charge for every delivery and variable charge based on the distance.

The graph is plotted between distance (x-axis) and delivery cost (y-axis).

Step 2 :

A)  The value of y corresponding to x=0 represents the total charge for a distance of zero miles. This value would be the fixed charge. By observing the graph we can conclude that y=12 when x=0. Hence the fixed charge is 12 pounds.

Step 3 :

B) By observing the graph we can conclude that the total cost for a distance of twenty miles is 40 pounds.

This includes fixed charge and variable cost based on the distance.

The fixed cost is 12 ponds.

Hence variable cost is 40 - 12 = 28 pounds. The delivery cost per mile is 28/20=1.4 pounds.

It is given that the distance between the distance for the 2 deliveries is 20 miles. The fixed cost is the same for both deliveries. The difference in variable cost would be 1.4*20=28 pounds.

The fixed charge between the two turfs delivered is 12£. The difference between the two delivery costs 28£.

To interpret the question, we must know the concept of a variable.

What is a variable on a graph?

A variable on a graph is an integer representing varying values on a graph by relating values on the y-(axis) to their corresponding values on the x-(axis).

On the graph, each unit on the vertical y-axis represents 4£. The fixed charge on the graph represents the time at which the distance starts at rest(x = 0) in relation to the delivery cost(£) and that is equivalent to.

= 4£ × 3 units

= 12£

The difference between the two delivery costs can be computed as follows:

From the graph, the total distance of 20 miles is equivalent to 40£. This comprises the fixed charge as well as the variable cost.

  • If the fixed cost = 12£
  • Then, the variable cost = 40 - 12 = 28£

In a distance of 1 mile, the delivery cost will be = 28/20 = 1.4£

Since the distance between two deliveries = 20 miles; therefore, the difference between the two distances in terms of their variable cost will be:

= 1.4£ × 20

= 28£

Learn more about variables here:

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