Modeling with Tables Formula Problem

[Tamsan]

Hello,
I haven't been able to figure out the formula of an exercise problem, it's confusing!

Emily Keaton has a job typing term papers for students on her computer.
She charges $5.25 per hour for a rough draft and $7.00 per hour for a final bound manuscript.
Her price increases in 15-minute intervals with a 1-hour minimum.

Let x = number of hours and write an algebraic representation for y1, the cost of preparing a rough draft.

I don't know how to deal with the interval part, my current formula is: x ≠< 1 = x[FONT=arial, sans-serif] [/FONT]∙ 5.25

 

[stapel]

I haven't been able to figure out the formula of an exercise problem, it's confusing! ...I don't know how to deal with the interval part....

When in doubt, try plugging numbers in, and seeing what happens. Keep doing this until you start seeing patterns.

Emily Keaton has a job typing term papers for students on her computer.
She charges $5.25 per hour for a rough draft and $7.00 per hour for a final bound manuscript.
Her price increases in 15-minute intervals with a 1-hour minimum.

Let x = number of hours and write an algebraic representation for y1, the cost of preparing a rough draft.

Since they've fixed "x" as "number of hours", and since she prices things in terms of 15-minute intervals, you'll probably want to fiddle around with quarter-hour values. At least, you'll want to pay particular attention to these values.

You're only asked for the rough-draft price, so you can ignore the $7/hr part. If the job takes less than one hour, how much does she charge? If it takes exactly one hour, how much does she charge? If it take five minutes more than one hour, how much does she charge? If she takes one hour and fifteen minutes, how much does she charge? And so forth.

Note: You may be expected to use a piecewise formulation for the functional rule.