Question

you deposit $450 into an account that earns simple interest at an annual rate of 6% write in all 3-forms and graph a function that represents the amount (in dollars) of interest earned after t years interpret the slope of the graph (PLEASE HURRY)

Answer 1

Answer: The amount of interest earned after t years can be represented by the function:

I(t) = Prt

where P is the principal amount, r is the annual interest rate, and t is the time in years.

Plugging in the given values, we get:

I(t) = 450(0.06)t

This function can be written in three forms:

Standard form: I(t) = 27t

Slope-intercept form: I(t) = 27t + 0

Point-slope form: I(t) - 0 = 27(t - 0)

The graph of this function is a straight line that passes through the origin and has a slope of 27. The slope means that for every year, the interest earned increases by $27. Here is the graph of the function: