Answer
$75$
Work Step by Step
This question is about direct variation. The formula for a direct variation is
$y = kx$
Where k is a constant.
"A student who correctly answers 14 questions receives a score of 70."
Plug these in, where y is the score, and x is the number of questions correct.
$70 = 14k$
$k = 5$
Now, we know the formula for this variation
$y = 5x$
To know the score for 15 correct answers, plug in 15 as x
$y = 15*5$
$y = 75$