Question

The table below shows the sale, in dollars, at Jacobs store over a period of five months:

Answer 1

Solution:

The table which is depiction of monthly sale in Dollars over a period of 5 months:

1. 1,000------(1)

2. 1,050--------(2)

3. 1,102.50-----(3)

4. 1,157.63--------(4)

5. 1,215.51----------(5)

As we know slope of line joining two points (p,q) and (a,b) is :

   $\frac{b-q}{a-p}$

Slope between point 1 and point 2 is = 50-------a

Slope between point 2 and point 3 is = 52.50-------b

Slope between point 3 and point 4 is = 55.13---------c

Slope between point 4 and point 5 is = 57.88----------d

b= a + 2.50, c= b+2.63, d=c+2.75

% between two months =$\frac{\text{Coming month-Previous month}}{Previous Month} \times100$

% increase between first two months=5%

% increase between Second and third month =5%

% increase between third and fourth month =Less than 5%

As you can see from above observation , first three options A,B,C are incorrect.

Option (D) Exponentially, table shows and increase in sales for an equal increase in months, Satisfies the above condition.

Answer 2

The answer is B) Exponentially, shows a constant percentage in sales per month