Lisa studies 5hr for a test and gets a score of 72 at the rate, how many hour would she have had to study to get a score of 93?
assuming a linear relation (a wildly inaccurate assumption), she makes 72/5 pts/hr
p = 72/5 h
So find h when p=93
(93/72 ) * 5h = 6.46 h.
To find the number of hours Lisa would have had to study to get a score of 93, we first need to determine the rate of change between the number of hours studied and the test score.
According to the problem, Lisa studied for 5 hours and received a score of 72. To find the rate, we divide the score by the number of hours studied:
Rate = Score / Hours
Rate = 72 / 5 = 14.4
The rate indicates that for every hour Lisa studies, her score increases by 14.4 points.
To determine the number of hours Lisa would have had to study to get a score of 93, we can set up a new equation:
Score = Rate * Hours
93 = 14.4 * Hours
To solve for the number of hours, divide both sides of the equation by the rate:
Hours = Score / Rate
Hours = 93 / 14.4 ≈ 6.46
Therefore, Lisa would have had to study approximately 6.46 hours to get a score of 93.