The simple interest i ( in dollars) for a savings account is jointly proportional to the product of the time t (in years) and the principal p (in dollars). after five months, the interest on a principal of $3892 is $92. a) find the constant of variation.
b) what will the interest be after 3 years

Part a) The constant of variation is or

Part b)

Step-by-step explanation:

Part a) Find the constant of variation.

we know that

The simple interest formula is equal to

In this linear direct variation the constant r represent the constant of proportionality

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

substitute the values and solve for r

Part b) what will the interest be after 3 years

in this part we have

substitute the values

2

step-by-step explanation:

y=sec x is the correct answer

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