You plan to join a gym near your new home. Universe Fitness will charge you $100/year plus an additional $1.50 per fitness class you attend. Silver's Gym charges $150/year but only $1 per fitness class. Part 1 of 3: (2 pts)

Write a model representing the cost of Universe Fitness, U(x), if you attend x fitness classes.

Part 2 of 3: (2 pts)

Write a model representing the cost of Silver's Gym, S(x), if you attend x fitness classes

Part 3 of 3: (4 pts)

Find the number of fitness class you would need to attend in a year for the cost of both gyms to be the same. What would be the cost of using either gym at that point? Show all work using the equation editor. Find your answer ALGEBRAICALLY. Be sure to write a sentence that explains your answer.

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel