The cost of a taxi is $1.80 plus $10 at eight of a mile .write an expression for the nth mile of a taxi ride.evaluate the expression for 4.5 miles.

suspect you mean 0.10 per 1/8 mile or 0.80 per mile

c(n) = 1.80 + .8 n

c(4.5) = 1.80 + .8 (4.5)

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To write an expression for the nth mile of a taxi ride, we need to consider that every eighth of a mile costs $10.

Since there are 8 parts of a mile (eighth of a mile), we can say that each part costs $10. Therefore, the cost of the nth mile can be expressed as:

Cost of nth mile = $10 * (n - 1)

Here, (n - 1) is used because the initial mile is charged at $1.80, and we are considering the additional miles beyond the first mile.

To evaluate the expression for 4.5 miles, substitute n with 4.5:

Cost of 4.5 miles = $10 * (4.5 - 1)
= $10 * 3.5
= $35

Therefore, the cost of a 4.5-mile taxi ride would be $35.