Question

Padma makes two investments of $700 each for a term of 1 year, where investment A is linear and will increase at a constant rate of change, while investment B is exponential will increase by a common ratio.

Answer 1

See the explanation below

Explanation:

Given data

Amount invested= $700

Time = 1 year

Say the percent increase for both investments is

The representation of the linear investment A is given by the linear function

y=mx+c

here m= the percent increase

x= the time taken and

c= the invested amount

By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount

The representation of the exponential investment A is given by the linear function

y=ab^x

here a= the invested amount

b= the rate

x= the time

By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount