Algebra

[jennygore1977]

I have a question. An English instructor asserted that students test grades are directly proportional to the amount of time spent studying. Lisa studies 3 hr for a particular test and gets a score of 74. At this rate, how many hours would she have had to study to get a score of 97?
My answer is 77 even when I round to the nearest hundredths. I still get the same answer. Could please to tell if I got this right?

 

[JeffM]

I have a question. An English instructor asserted that students test grades are directly proportional to the amount of time spent studying. Lisa studies 3 hr for a particular test and gets a score of 74. At this rate, how many hours would she have had to study to get a score of 97?
My answer is 77 even when I round to the nearest hundredths. I still get the same answer. Could please to tell if I got this right?

The answer is wrong. How did you set your problem up? It is very hard to tell you where you are going wrong if you just give an answer and show no work. All we can say is yes or no.

Edit: Your questions seem to be all over the map. What course are you studying, what math background do you have, and how old are you. Answers suitable for a child in the sixth grade may not be suitable for an adult in a community college and vice versa.

 

[srmichael]

I have a question. An English instructor asserted that students test grades are directly proportional to the amount of time spent studying. Lisa studies 3 hr for a particular test and gets a score of 74. At this rate, how many hours would she have had to study to get a score of 97?
My answer is 77 even when I round to the nearest hundredths. I still get the same answer. Could please to tell if I got this right?

No, that is not correct. Don't know what you did to get 77, but you have to think logically sometimes "does that make sense". If I have to study 77 hours to get a 97, I'd rather get some sleep and get an 87. In other words, 77 hours does not make sense.

To solve this, set up the proportion making sure that the numerators and denominators for each proportion represent the same item. For this case:

\(\displaystyle \frac{\ study\ time}{\ test\ score}=\frac{\ study\ time}{\ test\ score}\).

Thus

\(\displaystyle \frac{3}{74}=\frac{x}{97}\)

Now solve for x.

 

[lookagain]

To solve this, set up the proportion making sure that the numerators and denominators
for each proportion represent the same item. For this case:

\(\displaystyle \frac{\ study\ \ time}{\ test\ \ score} \ = \ \frac{\ study\ \ time}{\ test\ \ score}\).

Thus

\(\displaystyle \frac{3}{74} \ = \ \frac{x}{97}\)

Now solve for x.

There are other ways to set this up with the numerators and denominators
corresponding to each other. For example,


\(\displaystyle \frac{\ study\ time}{\ study\ time}=\frac{\ test\ score}{\ test\ score}\).


Thus


\(\displaystyle \frac{x}{3}=\frac{97}{74}\)