The graph shows the cost of climbing rope at a local sporting good store

And online store sells the same route, but charges the shipping fee the the function Y = 2.5x + 10 Describes the total cost Y to order X Meters of the rope

3 answers

The graph is not provided in the question.

Assuming the cost of climbing rope at the local sporting goods store is a constant rate (let's say $2 per meter), the function that represents the total cost at the local store would be:

Y = 2x

For the online store, the total cost Y to order X meters of the rope can be represented by the function:

Y = 2.5x + 10

In this function, the base cost per meter of the rope is $2.5 and there is an additional fixed shipping fee of $10.
How How much would 18 m of rope cost from each door?
To find out how much 18 meters of rope would cost from each store, we can substitute X = 18 into the respective functions.

For the local sporting goods store:
Y = 2(18)
Y = 36

So, 18 meters of rope would cost $36 from the local sporting goods store.

For the online store:
Y = 2.5(18) + 10
Y = 45 + 10
Y = 55

So, 18 meters of rope would cost $55 from the online store.