Question

Parts for a car repair cost $175. The mechanic charges $34 per hour. If you receive an estimate for at LEAST $226 and at MOST $294 for fixing the car, what is the time interval that the mechanic will be working on the job?

Answer 1

is it supposed to be set up like this?

Answer 2

\[75+34x \le226 \]

Answer 3

\[175+34x \le 294\]

Answer 4

@completeidiot

Answer 5

175+34 t
where t is the number of hours he worked
must be at least 224 and at most 294

your 2nd equation makes sense, your first equation, the sign is the wrong way

Answer 6

putting it all together in a single equation
\[224\le 175+34t\le294\]

Answer 7

okay, but does it look correct?the way i did it?

Answer 8

read the first comment i wrote

Answer 9

oh

Answer 10

your method is correct, but its quicker to solve it the way i have it written

Answer 11

\[1.5lex \ge3.5\]so my final answer should look like this

Answer 12

didnt do the problem, assumeing your math i correct, then the answer would be between time 1.5 h and 3.5 h

Answer 13

\[1.5\le x \ge 3.5\]

Answer 14

no

Answer 15

note the sign,

what you have written is
x greater than 1.5
x is greater than 3.5

you want a range,

Answer 16

what you want is x is greater than 1.5 and x is less than 3.5

so 1.5< x <3.5

Answer 17

oh okay i got . Thank you