PLEASE HELP! Speedy Taxicab Company charges a base fee plus a cost per mile for a cab ride. The table below shows the number of miles driven and the total cost for each ride. What is the base fee for a cab ride?
Options:
$2.00
$2.50
$3.00
$3.50
Answers
Step-by-step explanation:
Explanation:
The
3
mile cab ride includes a basic charge as well as the cost for the distance covered.
For a
6
mile trip, the cost is
$
4.80
which means that :
The cost of
3
miles is
$
4.80
−
$
3.00
=
$
1.80
Therefore the cost for
1
mile is
$
1.80
÷
3
=
$
0.60
The basic fee for hiring the cab is
$
3.00
−
$
1.80
=
$
1.20
So the total cost,
c
for a trip of
d
miles will be:
c
=
0.6
d
+
1.2
Check:
If
d
=
3
c
=
0.6
(
3
)
+
1.2
=
3
If
d
=
6
c
=
0.6
(
6
)
+
1.2
=
4.8
Given : Speedy Taxicab Company charges a base fee plus a cost per mile for a cab ride.
Number of miles driven and the total cost for each ride
Miles Cost $
3 3.90
7 5.10
10 6.00
15 7.50
18 8.40
To Find : base fee for a cab ride
$2.00
$2.50
$3.00
$3.50
Solution:
Assume base fee for a cab ride = $ b
Fee per miles = m
distance = d miles
Cost for d miles = md + b
3m + b = 3.90
7m + b = 5.10
=> 4m = 1.20
=> m = 0.3
3(0.3) + b = 3.90
=> b = 3
Hence base fee for a cab ride = $ 3
Correct option is $3.00
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