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 :
[tex]\frac{b-q}{a-p}[/tex]
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 =[tex]\frac{\text{Coming month-Previous month}}{Previous Month} \times100[/tex]
% 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:
B: Exponentially, because the table shows a constant percentage increase in sales per month.
Step-by-step explanation:
As we go through the days, the number of dollars that Jacobs earns does not increase at a constant (or linear) rate, instead beginning to sharply slope upwards the higher the number before it. This is because there is a percentage being added to it, rather than a solid number. On a graph, this equation would start slow, then begin to curve upwards, steeper and steeper with each day.
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