The cost of a taxi is $1.80 plus $10 per eight of a mile .write an expression for the nth mile of a taxi ride.evaluate the expression for the cost of 4.5 miles.
I suspect you men .10 or 1.0 times 8 per mile not $10 per (1/8) mile but since you used 10 I will go along with $80 per mile
c = 1.8 + 80 m
c(4.5) = 1.8 + 80 (4.5)
To write an expression for the cost of the nth mile of a taxi ride, we need to consider the given information that the cost per eight of a mile is $10 and the initial cost is $1.80.
Let's start by breaking down the cost per mile. Since there are eight 1/8 mile segments in a mile, the cost per mile can be calculated by multiplying the cost per 1/8 mile by 8.
Cost per mile = $10 * 8 = $80
Now, we can write the expression for the cost of the nth mile of a taxi ride using the initial cost of $1.80 and the cost per mile of $80.
Expression for the cost of the nth mile = $1.80 + ($80 * (n - 1))
To evaluate the expression for the cost of a 4.5-mile taxi ride, we substitute n = 4.5 into the expression:
Cost of 4.5 miles = $1.80 + ($80 * (4.5 - 1))
= $1.80 + ($80 * 3.5)
= $1.80 + $280
= $281.80
Therefore, the cost of a 4.5-mile taxi ride would be $281.80.