A local business owner noticed that the number of customers at his store has been decreasing by 8.7% each month since May. In May, he had 1,208 customers. The owner has determined that once the number of customers is below 700, he will consult a marketing expert for help promoting his business.

It is October and the owner is worrying if he should have consulted the expert by now. Write an inequality to model the number of customers each month since May, where m is the number of months after May. Then, determine if the expert needed to be consulted by now.

Ans. choices:

A. 1,208(0.87)m < 700; yes
B. 700(1.087)m > 1,208; no
C. 700(1.87)m > 1,208; yes
D. 1,208(0.913)m < 700; no

$79500

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

c

step-by-step explanation: