Question 1154861
Dr. Don offers tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she can afford to spend between $140 and $200? ( express answer as an inequality)
<pre>Let each hour of tutoring be h
Then the cost equation is: f(h) = 20(h - 1) + 40
f(h) = 20h - 20 + 40
f(h) = 20h + 20
Therefore, to get number of hours of tutoring for costs between $140 and $200, we have: {{{140 <= 20h + 20 <= 200}}}
{{{120 <= 20h <= 180}}} --- Subtracting 20
{{{highlight_green(6 <= h <= 9)}}} --------- Dividing by 20
As seen, minimum and maximum number of hours she can afford are 6 and 9, respectively.