A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.

Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 < 10,="" in="" which="">x is the number of miles. To solve, first subtract 3 from each side, then divide each side by 0.5. The solution is x < 14.="" carl="" can="" travel="" less="" than="" 14="" miles,="" but="" he="" lives="" 15="" miles="" away,="" so="" he="" will="" take="" a="" bus,="" not="" the="">

Step-by-step explanation:

Sample Response

deepakrai138 deepakrai138 · Answer 2 · 2022-01-04T06:07:48+01:00

The inequality to determine Carl will take a taxi or bus is [tex]0.5x+3< 10[/tex].

Carl will take a bus to reach his home.

Given,

Flat rate of taxi is $3.00 .

The charge of taxi per mile is $0.50 .

The distance of Carl from his home is 15 miles.

Let the distance traveled by Carl in miles be x.

Now according to the question the inequality becomes,

[tex]0.5x+3< 10[/tex]

Since the distance of Carl from his house is 15 miles so,

[tex]0.5\times15+3< 10[/tex]

[tex]7.5+3< 10\\10.5< 10[/tex]

But in actual,10.5 is never less than 10. So the inequality fails or doesn't exist. Hence Carl will take a bus.

Thus Carl will take a bus to reach his home.

For more details on inequality follow the link:

https://brainly.com/question/19491153