Christa works at a fast food restaurant making $7.75 per hour. she wants to gross $400 this month, and she is scheduled to work 40 hours. will she earn her goal based on this schedule? if not, how many more hours, rounded to the nearest hour, does she need to request?

For this case we have the following equation:
 y = 7.75x
 Where,
 x: number of hours
 y: total profit
 Substituting for x = 40 we have:
 y = 7.75 * (40)
 y = 310 $
 We note that it does not meet the goal (310 $ <400 $)
 Therefore, we must find the number of hours you should work:
 400 = 7.75x
 Clearing x:
 x = 400 / 7.75
 x = 51.61290323
 rounding:
 x = 52 hours
 
 she will not earn her goal based on this schedule.
 she needs to request 52 hours.