Question

Pls help im really stuck on i’ll highly appreciated it

Answer 1

EXPLANATION :

From the problem, the taxi charges a flat rate of $3 and an additional $0.50 per mile.

Let x = number of mile

and y = total cost

The equation will be :

`y=3+0.50x`

Carl will take a taxi if the total cost is under $10.

Carl is 15 miles from home.

The inequality will be :

`\begin{gathered} y\le10 \\ 3+0.50x\le10 \end{gathered}`

For him to take a taxi, otherwise he will take a bus.

Substitute x = 15 miles :

`\begin{gathered} 3+0.50(15)\le10 \\ 3+7.50\le10 \\ 10.50\le10 \\ False \end{gathered}`

Since the total cost is greater than $10. He will take a bus.

ANSWER :

Carl will take a bus.