User:J D Bowen/Midterm

1)

Suppose that in 1995, 30 million people had cell phones in the United States. Suppose now in 2010, that 250 million people have cell phones.

How many more people got cell phones every year? Can you graph the increase in cell phone ownership over time? If I told you there are 300 million people in the United States, when would you predict all Americans will have cell phones? Graph this situation.

2)

Suppose that as of yesterday, a road-paving project had paved 21 miles of road, and that 1/5 of a mile of road is paved every day. How much road is paved in total as of today? Suppose the total length of the road is 100 miles. When will the project be complete? Graph this situation.

3)

Given the equation $$4y-7x=3 \ $$, find the intercepts and slope. Graph this equation.

4)

A family travels from San Francisco to Los Angeles over the course of 6 hours. Los Angeles is 382 miles from San Francisco.

Graph the families distance from San Francisco and their distance to Los Angeles as functions of time. What are the slopes of these graphs? What does the slope represent?

5)

Can you factor $$x^2+2x-24 \ $$? List all the values of $$A \ $$ for which $$x^2+Ax-24 \ $$ is factorable.

EXTRA CREDIT:

Simplify $$\left({ \frac{4xy^2z^3}{2y\sqrt{x}}  }\right)^3 \frac{x^2}{8yz^8} \ $$.