Question

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minute of 250, Tracy is charged $0.35 per minute. Which of the following piece wise function represents charges based on Tracey's cell phone plan?

Answer 1

Your function is:

Y= 29 + 0.35x

X represents the money that Tracy is charged per minute

Answer 2

f(x) = { 29 , 0≤x≤250

0.35 (x-250) + 29 250< x< ∞ }

Explanation:

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minute of 250, Tracy is charged $0.35 per minute

For first 250 minutes the flat charge is 29

LEts x be the number of minutes called

x- 250 be the minutes to be charged

Tracy is charged $0.35 per minute

so charge = 0.35(x-250) + 29

We write piece wise function for 0 to 250 minutes and then for above 250 minutes

f(x) = { 29 , 0≤x≤250

0.35 (x-250) + 29 250< x< ∞ }