Awildlife biologist determines that there are approximately 200 deer in a region of a national park. the population grows at a rate of 7% per year. what is an exponential function that models the expected population?

The exponential function is Y = 200 [1.07]ˣ

Step-by-step explanation:

Let Y represent the expected population

Let P represent the current population

Let r represent the population growth rate

let x represent the number of years or nth year.

The compound interest expression can used to derive the exponential function can be represented as follows

Y = P [1 + (r ÷ 100)]ˣ

Y = 200 [ 1 + (7 ÷ 100)]ˣ

Y = 200 [ 1 + (0.07)]ˣ

Y = 200 [1.07]ˣ

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold