A kayak rental company charges a flat fee for the rental plus a fee per hour. The graph shows the cost of renting a kayak for x hours. About how much does it cost only for the hours of the rental if the total cost was $45.00?
A graph is shown in the xy-plane. The values on the x-axis ranges from 0 to 7 in increments of 1 and the values on the y-axis ranges from 0 to 80 in increments of 10. A line starts from a point 25 on the y-axis, goes up and passes through the points (1, 35), (2, 45), and so on.
A.
$10.00
B.
$20.00
C.
$25.00
D.
$45.00
y = m x + 25
what slope m goes through (1, 35), (2, 45) ?
(45 - 35) / (2-1) = 10 = m dollars/hour
y = 10 x + 25
45 = 10 x + 25 but 25 was fixed fee
so
45 - 25 = $20 is for time (which was 2 hours)
To determine the cost only for the hours of the rental, we need to find the y-coordinate on the graph that corresponds to the total cost of $45.00.
From the graph, we can see that the line passes through the point (1, 35) and goes diagonally until it reaches the total cost of $45.00. In this case, the x-coordinate represents the number of hours and the y-coordinate represents the cost.
Since the line starts from a point of 25 on the y-axis and goes up to reach the point (1, 35), we can calculate the change in the y-coordinate: 35 - 25 = 10.
So for each hour, there is an increase of $10.00 in the cost.
To find the number of hours for the total cost of $45.00, we need to determine by how much the y-coordinate exceeds 35.
The total cost is $45.00, which is $10.00 more than 35. Therefore, the number of additional hours is 1 (45 - 35 = 10).
Since the line has a constant increase of $10.00 for each hour, the cost for the additional hour will also be $10.00.
Therefore, the cost only for the hours of the rental is $10.00.
So, the answer is A. $10.00.
To find the cost only for the hours of the rental, we need to determine the y-value on the graph that corresponds to the total cost of $45.00.
Looking at the graph, we can see that the line passes through the points (0, 25), (1, 35), (2, 45), and so on.
The x-values represent the number of hours, and the corresponding y-values represent the total cost.
The graph starts at the point (0, 25), which means that if the rental is for 0 hours, the cost is $25.
To find the cost for 1 hour, we look at the point (1, 35), which means the cost is $35.
Similarly, for 2 hours, the cost is $45 according to the point (2, 45).
Since the cost increases by $10 for every hour, we can see that for each additional hour, the cost increases by an additional $10.
To find how many hours are represented by the total cost of $45, we can count the number of additional $10 increments from $25 up to $45.
Starting from $25 and counting by $10, we have $35, $45. This means there are 2 increments of $10.
Therefore, the cost of only the hours of the rental is $10.00.
So, the answer is A. $10.00.