The function A(t) = 1950 (0.65)t models the amount A(t) , in dollars, that Ted's company deducts from his check for health insurance based on time t, in months that Ted has worked for the company. Determine the rate used in this formula and identify as growth or decay.

This is an Exponential decay

The Exponential decay rate = 35%

Step-by-step explanation:

Looking at that the above question, it is an Exponential decay

The formula for Exponential decay is:

A(t) = Ao (1 - r)^t

In the above question:.

A(t) = 1950 (0.65)^t

r = rate

Hence:

(1 - r) = (0.65)

1 - r = 0.65

r = 1 - 0.65

r = 0.35

Converting to percentage

0.35 × 100

= 35%

Hence, the Exponential decay rate is 35%

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

95.03 is the answer. hope this !