Question

can you help me solve this? the grade you make on your exams varies directly with the number of correct answers you get on the exam. Answering 32 questions correctly will give you a grade of 80 .what is the constant of variation? write an equation to represent the situation y= how many questions do you need to answer correctly to get a grade of 90?

Answer 1

We have the following:

what is the constant of variation?

$\begin{gathered} c=\frac{80}{32} \\ c=2.5 \end{gathered}$

The constant of variation is 2.5

write an equation to represent the situation

$y=2.5\cdot x$

how many questions do you need to answer correctly to get a grade of 90? ​

$\begin{gathered} 90=2.5\cdot x \\ x=\frac{90}{2.5} \\ x=36 \end{gathered}$

you need to answer correctly 36 questions