(a) Suppose that a taxicab driver charges $1.30 per mile. Fill in the chart shown to the right with the correct response for the price f(x) she charges for a trip of x miles.
(b) The linear function that gives a rule for the amount charged is f(x)=____.
(c) Graph this function for the domain {0, 1, 2, 3}.
x
f(x)
0
$__
1
$__
2
$__
3
$__
Question content area bottom
Part 1
(a) Complete the chart below.
x f(x) 0 $0.000.00 1 $1.301.30 2 $2.602.60 3 $3.903.90
Part 2
(b) The linear function that gives a rule for the amount charged is f(x)=
▼
1.30 .1.30.
StartFraction 1.30 Over x EndFraction .
1.30
x.
1.30 x.1.30x.
x.x.
(a) Complete the chart below.
x f(x) 0 $0.00
1 $1.30
2 $2.60
3 $3.90
(b) The linear function that gives a rule for the amount charged is f(x) = 1.30x.
(a) Complete the chart below:
x f(x)
0 $0.00
1 $1.30
2 $2.60
3 $3.90
(b) The linear function that gives a rule for the amount charged is f(x) = $1.30x.
(c) Graph of the function for the domain {0, 1, 2, 3}:
- The x-axis represents the number of miles, ranging from 0 to 3.
- The y-axis represents the amount charged in dollars, ranging from 0 to 4.
The points on the graph would be:
(0, 0), (1, 1.30), (2, 2.60), (3, 3.90)
Joining these points with a straight line will represent the linear function.
(a) To fill in the chart, we need to calculate the price 𝑓(𝑥) for each value of 𝑥.
Given that the taxicab driver charges $1.30 per mile, we can multiply the number of miles by the cost per mile to get the total price.
For example, for 𝑥 = 0, the price 𝑓(0) would be 0 * $1.30 = $0.00.
For 𝑥 = 1, the price 𝑓(1) would be 1 * $1.30 = $1.30.
For 𝑥 = 2, the price 𝑓(2) would be 2 * $1.30 = $2.60.
For 𝑥 = 3, the price 𝑓(3) would be 3 * $1.30 = $3.90.
Filling in the chart, we get:
x | 𝑓(𝑥)
0 | $0.00
1 | $1.30
2 | $2.60
3 | $3.90
(b) The linear function that gives a rule for the amount charged is 𝑓(𝑥) = $1.30𝑥.
Here, 𝑓(𝑥) represents the total price and 𝑥 represents the number of miles.
(c) To graph this function for the domain {0, 1, 2, 3}, we can plot the points (𝑥, 𝑓(𝑥)) on a graph.
Using the values from the chart:
(0, $0.00), (1, $1.30), (2, $2.60), (3, $3.90)
We can plot these points on a graph and connect them with a straight line to represent the linear function 𝑓(𝑥) = $1.30𝑥.