Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of nineteen and a half hours. If she rehearses for the same amount of time each day for the next 7 days, at least how many hours must she rehearse per day?

7x + 5.5 ≥ 19.5

Solve for x.

To find out how many hours Mary must rehearse per day for the next 7 days, we need to divide the total number of hours she wants to rehearse (19.5 hours) by the number of days she has left to rehearse (7 days).

To do this, we can use the following formula:

Number of hours she must rehearse per day = Total number of hours she wants to rehearse / Number of days she has left to rehearse

Substituting the given values into the formula, we get:

Number of hours she must rehearse per day = 19.5 hours / 7 days

Calculating this, we find:

Number of hours she must rehearse per day = 2.7857 hours/day

Rounding this up to the nearest hour, Mary must rehearse at least 3 hours per day for the next 7 days.