Question

an english instructor asserted that students test grades are directly proportional to the amount of time spent studying.
Lisa studies for 9 hr for a particular test and gets a score of 75. at this rate, how many hours would she have had to study to get a score of 92?
please help

Answer 1

directly proportional so
\[y = kx\]
let x be the hours she take studying and y is her grade
\[75 = 9k\]
\[k = \frac{75}{9}\]
now to get a score of 92...
\[y = kx\]
\[92 = \frac{75}{9} x\]
solve for x

got it?

Answer 2

in the book the answer is 11.04
when i divide that i dont get that answer

Answer 3

really i got 11.04

Answer 4

\[92 = \frac{75}{9} x\]
\[\frac{92 \times 9}{75} = x\]