Now let’s generalize. a. running uphill the jogger runs c mph slower than 6 mph. write an expression representing a speed of c mph slower than 6 mph. b. write an algebraic expression that represents the time it takes to run 1 mile uphill at a speed that is c mph slower than 6 mph. (refer to #1a for .) c. running downhill the jogger runs c mph faster than 6 mph. write an expression represents a speed of c mph faster than 6 mph. d. write an algebraic expression that represents the time it takes to run 1 mile downhill at a speed that is c mph faster than 6 mph. (refer to #1b for .) e. use your answers to b and d to write an algebraic expression for the total time, in hours, that it takes the jogger to cover 2 miles by going uphill for 1 mile and then returning 1 mile back down the hill. f. simplify your answer to part e into a single algebraic fraction. (remember to find a common denominator first.) g. what is the value of c for #1? (how much slower does she run uphill? ) use this c to test your answer to part f. (check that it gives the correct answer for #1c.) h. what is the value of c for #2? (how much slower does she run uphill? ) use this c to test your answer to part f. (check that it gives the correct answer for #2.)

a.Running uphill the jogger runs c mph slower than 6 mph. Write an expression representing a speed of c mph slower than 6 mph.___________



b. Write an algebraic expression that represents the time it takes to run 1 mile uphill at a speed that is c mph slower than 6 mph.___________ (Refer to #1a for help.)



c.Running downhill the jogger runs c mph faster than 6 mph. Write an expression represents a speed of c mph faster than 6 mph. ___________ 



d.Write an algebraic expression that represents the time it takes to run 1 mile downhill at a speed that is c mph faster than 6 mph.___________ (Refer to #1b for help.) 



e.Use your answers to b and d to write an algebraic expression for the total time, in hours, that it takes the jogger to cover 2 miles by going uphill for 1 mile and then returning 1 mile back down the hill.



f.Simplify your answer to part e into a single algebraic fraction. (Remember to find a common denominator first.)



Parts g and h refer to "#1" and "#2," presumably particular examples, but not given in the question so you're on your own with those.

g.What is the value of c for #1? (How much slower does she run uphill?)________ Use this c to test your answer to part f. (Check that it gives the correct answer for #1c.)

h.What is the value of c for #2? (How much slower does she run uphill? )________ Use this c to test your answer to part f. (Check that it gives the correct answer for #2.)

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