math help please!!

Question

write an inequality for each. 

 

you want to spend at most $10 for a taxi ride. Before you go anywhere, the taxi driver sets the meter at the initial charge of $2. the meter then adds $1.25 for every mile driven. If you plan on a $1 tip, what is the farthest you can go? 

 

 

 

Answer 1

you only have 10$ to spend on a taxi ride

 

As soon as you get into the car the taxi driver charges you 2$

You also plan to give the taxi drive a 1$ tip 

It cost 1.25$ for every mile driven

 

If we say the number of miles you can travel is equal to X, we can set up the inequality as

 

 

2.00 + 1.00+ 1.25 X ≤ 10.00

 

 

(Note: we use the "less than or equal to" inequality because you can spend less than or up to 10$ but you cannot spend more)

 

Solve for X to get the number of miles you can travel before you run out of money

 

2.00 + 1.00+ 1.25 X ≤ 10.00

 

 

3.00 + 1.25 X ≤ 10.00

 

1.25 X ≤ 7.00

 

X = 5.6 miles 

 

5.6 miles is the farthest you can go before you spend the 10.00$