Question

A taxi driver's flat rate of $3 plus an additional $0.05 per mile car will only take taxi home if cost is under $10 under otherwise he will take the bus Carlos 15 miles from home explain how to write and solve an inequality determining if Carl will take the taxi for a bus

Answer 1

The inequality representing the situation is 0.5x + 3 < 10.

Use inverse operations and properties of inequality to solve.

Find that x < 14.

Carl lives 15 miles from home, so he will take a bus.

Explanation:

Answer 2

Explanation:

we can model the expression for the inequality as

given the flat rate is $3

let the additional mile be x

hence

3+0.05x<10

step two:

let us proceed to solve for x

3+0.05x<10

0.05x<10-3

0.05x<7

divide both sides by 0.05

x<7/0.05

x<140

let us plug in 15 into the expression and see if the cost is under $10

3+0.05(15)<10

3+0.75<10

3.75<10

from the analysis, carl will have to take the taxi since cost is less than $10 i.e $3.75