In 2002, a principal of $1600 was invested at 3.25% interest, compounded annually.
Let t be the number of years since 2002. Let y be the value of the investment, in dollars.
Write an exponential function showing the relationship between y and t.

y = 1600(1.0325)^t

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

y = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1600

r = 3.25% = 3.25/100 = 0.0325

n = 1 because it was compounded once in a year.

Therefore, the exponential function showing the relationship between y and t is

y = 1600(1 + 0.0325/1)^ 1 × t

y = 1600(1.0325)^t

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

2/4 is the answer

step-by-step explanation:

x= total pieces

both ate 9 pieces

mindy ate 3 so troy ate 6

6= (1/4)x

x =24