Question

just do #6

Use the following information to answer questions 5 to 7. In an election campaign, the popularity, B, as percent of voters, of the governing Blue party can be modelled by a function of time, t, in days throughout the campaign as B(t) = 40 - 0.5t. The popularity, R(t), of the opposing Red party can be modelled bya composite function of B(t), running in a) Graph compo V(t) this g b) Assur and 20+0.75/40- B(t)]. R(B(t)) you Rep 5. a) Graph B(t) and describe the trend. b) What is the popularity of the Blue party at the beginning of the campaign? par 8.Is fig and c) What is the rate of change of this function, and what does it mean? to ill 9. Let d) Can you tell if these are the only two parties in the election? If you can, explain how. If you cannot, describe what additional information is required. a) I b) 6. a) Graph R(t) and describe the trend. b) What is the popularity of the Red party at the beginning of the campaign? What is the rate of change of this graph, and what does it mean? d) If it can be assumed that these are the only two parties running for election, which party do you think will win? Does your depend on something? Explain. answer

Answer 1

Replacing B(t) by a variable we get

R(t) =20+0.75(40-B(t))

Graphing both red and blue graphs we get

-50 (40, 20) 0 50

b) Rate of change of graph is - 0.75

This means the red popularity is falling

c) Overtime Blue will win more popularity and red popularity falls.