Tooter wrote:I think this is looking for something like: f(x)= -----

Yes, they've told you to find a function, and your function will start with "(function name) equals".

Tooter wrote:"The director of a summer camp estimates that 100 students will enroll if the tuition is $250. For each $20 increase in tuition, six fewer students will enroll.

a. Determine a linear function that will predict the number of students who will enroll at a given tuition.

They've given you one point; namely, (x, y) = (250, 100).

They've given you information sufficient to find the "next" point; namely, (270, 94).

They've told you to find the

*linear* model for these two points.

Find the

**slope** of the line through these points. Then pick one of the points (it doesn't matter which) and plug it, along with the slope you just found, into

**point-slope formula for a straight line**.

Solve this equation for "y=". Rename "y" as

**"f(x)"**, to restate the formula as a function.

Tooter wrote:b. use this model to predict erollment when the tuition is $300.

Plug "300" in for "x", and

**evaluate** to find the required value.

If you get stuck, please reply showing how far you have gotten in following the step-by-step instructions.

Thank you!