Question

A) 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

Answer 1

Given : 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

To Find :  (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.

Solution:

(a) Graph the equation.  P(x)= 278000 + 7550x

T P(x)= 278000 + 7550x

0 278000

1 285550

2 293100

3 300650

4 308200

5 315750

6 323300

7 330850

8 338400

9 345950

plot the graph

Slope = 7550

y intercept (p - intercept) = 278000

Slope shows increase in tourist every years

y intercept (p - intercept)  shows tourist in initial year (0)

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