Question

Recently, two pizza outlets opened in town. The outlet YummyPizza charges a fixed fee of $9 for collection and an extra $0.50 per kilometer for delivery charges. On the other hand, HoneyPizza does not charge any fixed fee, but only charges $1.25 per kilometer for delivery. a. On the same pair exes, draw graphs of the charges against distance for both the pizza outlets on the same diagram. Let x and y denote distance and charge respectively. b. Using the graph above, find the distance when both companies charge the same amount. c. Write down mathematical expressions for each of the charge functions plotted in part (a) and use algebra to confirm that your answer to part (b) is correct.

Answer 1

red line yummy pizza

-504 -40- -30- -20- (12,15) -10- | 20 |

Blue line honey pizza

- yummy hoe Pizza Rate - 89 for pizza Rate for kibonth each $0.50 34 & kilomete given then last = 9+0.52 TY= a + 2 Honey Pizza R He for pizza=0 Rate per kilometer $ 1.25 for s kllorreth Cost 0-1 1.25" (a) In the graph b) Intaseuting poins 4-12 y = 15 10 for same Amourt az = 2 x - 92 - 4 5x-2x = 9= 34 4 =) = 9x4 - 12 So Distance = 12km Any 3 yummy Pizza - ty bast 9+1:15 145 4+2 = x HONEY PIZZA lost = 5 x 212 - So By Algeboa it also poored