The average cab ride cost per mile(x) is given by f(x)=2x+3.50, where x is miles and f(x) is money.
A. Find the cost of a 5 mile ride.
B. Find the cost of a 3/4 mile ride.
C. How many miles can you go in $50?
A.
x = 5
f ( 5 ) = 2 * 5 + 3.50 = 10 + 3.50 = 13.50 $
B.
x = 3 / 4
f ( 3 / 4 ) = 2 * 3 / 4 + 3.50 = 6 / 4 + 3.50 = 6 / 4 + 7 / 2 = 6 / 4 + 14 / 4 = 20 / 4 = 5 $
C.
f ( x ) = 50
50 = 2 x + 3.5
50 - 3. 5 = 2 x
46 . 5 = 2 x Divide both sides by 2
46.5 / 2 = x
23.25 = x
x = 23.25 miles = 23 1 / 4 miles
To find the cost of a 5 mile ride, we need to substitute x = 5 into the given equation f(x) = 2x + 3.50:
A. f(5) = 2(5) + 3.50
= 10 + 3.50
= 13.50
Therefore, the cost of a 5-mile ride is $13.50.
To find the cost of a 3/4 mile ride, we need to substitute x = 3/4 into the given equation f(x) = 2x + 3.50:
B. f(3/4) = 2(3/4) + 3.50
= 3/2 + 3.50
= 1.50 + 3.50
= 5.00
Therefore, the cost of a 3/4 mile ride is $5.00.
To determine how many miles you can go in $50, we need to rearrange the given equation f(x) = 2x + 3.50 to solve for x:
f(x) = 2x + 3.50
Subtract 3.50 from both sides:
2x = f(x) - 3.50
Now, substitute $50 into f(x) and solve for x:
$50 = 2x - 3.50
Add 3.50 to both sides:
$53.50 = 2x
Now, divide both sides by 2:
x = $53.50 / 2
x = $26.75
Therefore, you can go approximately 26.75 miles with $50.