Complete question :
The chamber of commerce for a summer resort is trying to determine how many tourists will be visiting each season over the coming years. A marketing research firm has estimated that the number of tourists can be predicted by the linear equation: P(x)= 278000 + 7550x
where p = number of tourists per year and t = years (measures from this current season). Thus t=0 identifies the current season, t=1 is the next season, etc. If p is plotted on the vertical axis:
(a) Graph the equation.
(b) Identify the slope and y intercept (p intercept, here).
(c) Interpret the meaning of the slope and p intercept in this application.
Answer:
B.) 7550 ; 278000
C.) kindly check explanation
Explanation:
From the equation given,
At x = 0 ; p(x) = 278000
-- x = 1 p(x) = 278000 + 7550 = 285550
B.) general form of a linear equation :
y = mx + c
Equation given :
P(x)= 278000 + 7550x
Slope (m) = 7550
Intercept ; p intercept = 278000
C.) the slope means ; the number of tourist visutun each season increases at the rate of 7550 per year
The intercept, means the initial number of tourist at the time t = 0 = 278000