The function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.
What is the linear equation in two variable?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
According to the given question
We have
Total number of problems in a math test = 7
Total points given to each problem if it is correct = 10
Every text taker receives points for taking a test = 30
Let x represents number of correct answers given by the test taker and f(x) be the total score earned by the test taker.
Now, the function or linear equation in two variable which represent the given scenario is
f(x) = 30 + 10x
Hence, the function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.
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