183k views
21 votes
The table shows the cost for renting a canoe, based on the number of hours of rental. The pairs of values in the rows of the table form a linear function.

CANOE RENTAL
Hours Cost in Dollars
1 7
2 9
3 11
4 13
5 15
What is the meaning of the rate of change for the function?
A The price per hour for the rental is $2.
B The price per hour for the rental is $7.
C The base charge is $2.
D The base charge is $5.

2 Answers

5 votes
D the base charge is $5
User Jaded
by
4.5k points
9 votes

Answer:

1) the rate of change is the change of the equation as it progress, in this case, it is the slope

Answers Below ↓

Explanation:

a) Assuming the table giving is the original, this means that the slope here should be 2x, therefore, we would have to multiply all the numbers by 2

this gives:

(2, 14) (4, 18) (6, 22) (8, 26) and (10, 30)

b) like above this time, we would need to multiply the original by 7

this gives:

(7, 49) (14, 63) (21, 77) (28, 91) (35, 105)

c) base charge should be the charge they need to pay to rent the canoe, to add this in, we add 2 to the cost per hour

this gives:

(1, 9) (2, 11) (3, 13) (4, 15) (5, 17)

d) we do the same here:

(1, 12) (2, 14) (3, 16) (4, 18) (5, 20)

User StuckInPhDNoMore
by
4.3k points