(a) Suppose that a taxicab driver charges $1.75 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 $enter your response here 1 $enter your response here 2 $enter your response here 3 $enter your response here
Part 2
(b) The linear function that gives a rule for the amount charged is f(x)=
▼
1.75 x.1.75x.
StartFraction 1.75 Over x EndFraction .
1.75
x.
x.x.
1.75 .1.75.
Part 3
(c) Choose the correct graph below.
A.
-2
2
4
6
8
-4
-2
2
4
6
8
x
y
A coordinate system has a horizontal x-axis labeled from negative 2 to 8 in increments of 1 and a vertical y-axis labeled from negative 4 to 8 in increments of 1. Plotted horizontal lines cross the y-axis at (0, 0), (0, 1.75), (0, 3.50), and (0, 5.25).
B.
-4
-2
2
4
6
8
-2
2
4
6
8
x
y
A coordinate system has a horizontal x-axis labeled from negative 4 to 8 in increments of 1 and a vertical y-axis labeled from negative 2 to 8 in increments of 1. A plotted horizontal line lies along the x-axis.
C.
-2
2
4
6
8
-4
-2
2
4
6
8
x
y
A coordinate system has a horizontal x-axis labeled from negative 2 to 8 in increments of 1 and a vertical y-axis labeled from negative 4 to 8 in increments of 1. Points are plotted at (0, 0), (1, 1.75), (2, 3.50), and (3, 5.25).
D.
-4
-2
2
4
6
8
-2
2
4
6
8
x
y
Part 1:
x f(x)
0 $0.00
1 $1.75
2 $3.50
3 $5.25
Part 2:
The linear function that gives a rule for the amount charged is f(x) = 1.75x.
Part 3:
The correct graph is C. A coordinate system has a horizontal x-axis labeled from negative 2 to 8 in increments of 1 and a vertical y-axis labeled from negative 4 to 8 in increments of 1. Points are plotted at (0, 0), (1, 1.75), (2, 3.50), and (3, 5.25).
Part 1:
x f(x)
0 $0.00
1 $1.75
2 $3.50
3 $5.25
Part 2:
(b) The linear function that gives a rule for the amount charged is f(x) = 1.75x.
Part 3:
(c) The correct graph is C. A coordinate system has a horizontal x-axis labeled from negative 2 to 8 in increments of 1 and a vertical y-axis labeled from negative 4 to 8 in increments of 1. Points are plotted at (0, 0), (1, 1.75), (2, 3.50), and (3, 5.25).
(a) To fill in the chart, we need to determine the price f(x) for each value of x. We are given that the taxicab driver charges $1.75 per mile. So, for each value of x, we will multiply x by $1.75 to find the corresponding price.
x f(x)
0 $0.00
1 $1.75
2 $3.50
3 $5.25
(b) The linear function that gives a rule for the amount charged is f(x) = 1.75x. This means that the price f(x) is equal to 1.75 multiplied by the number of miles x.
(c) The correct graph for the domain {0, 1, 2, 3} is option D. It shows a coordinate system with the x-axis labeled from -2 to 8 and the y-axis labeled from -2 to 8. The plotted points are (0, 0), (1, 1.75), (2, 3.50), and (3, 5.25).