Delivery company charges $10 plus 40¢ per kilometer or part of a kilometer. Find the cost for a trip of:
a.5 kilometers
b.7.5 kilometers
c.3.2 kilometers
d.Graph the ordered pairs (kilometers, cost). Is this a function?
10 + .4*5 = 12
10 + .4*8 = 13.2
10 + .4*4 = 11.6
it may be bumpy but:
There is one and only one output value for every input value.
Therefore it is a function.
To find the cost for a trip of a certain number of kilometers, we need to use the given information that the delivery company charges $10 plus 40¢ per kilometer or part of a kilometer.
a. For a trip of 5 kilometers:
The cost for the first kilometer is $10, and then for the remaining 4 kilometers, the cost would be 4 * $0.40 = $1.60. Therefore, the total cost for a trip of 5 kilometers would be $10 + $1.60 = $11.60.
b. For a trip of 7.5 kilometers:
The cost for the first kilometer is $10, and then for the remaining 6.5 kilometers (since 7.5 - 1 = 6.5), the cost would be 6.5 * $0.40 = $2.60. Therefore, the total cost for a trip of 7.5 kilometers would be $10 + $2.60 = $12.60.
c. For a trip of 3.2 kilometers:
The cost for the first kilometer is $10, and then for the remaining 2.2 kilometers (since 3.2 - 1 = 2.2), the cost would be 2.2 * $0.40 = $0.88. Therefore, the total cost for a trip of 3.2 kilometers would be $10 + $0.88 = $10.88.
d. To graph the ordered pairs (kilometers, cost), we can use the above calculations for different trip distances.
Ordered pairs:
(5, 11.60)
(7.5, 12.60)
(3.2, 10.88)
Now, let's determine if this is a function. A function is a rule that assigns a unique output value to each input value. In this case, the input value is the number of kilometers, and the output value is the cost.
Looking at the ordered pairs, we can see that each different number of kilometers corresponds to a unique cost. Therefore, this is indeed a function since there is only one output value (cost) for each input value (kilometers).