A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9 and the population after 5 weeks is

P5=44

.

Find an explicit formula for the beetle population after

n weeks.

Pn=

After how many weeks will the beetle population reach 177?

P(n)=5n+9

Step-by-step explanation:

The initial population (week 0),

Population after 5 weeks,

Since the population is growing according to a linear growth model.

A linear model is of the form: y=mx+b where m is the slope and b is the y-intercept.

First, we determine the population growth per week which is our slope.

We then have:

y=5n+b

When Number of weeks, n=0, =y=9

Therefore: 9=5(0)+b

b=9

Therefore, our population after n weeks:

P(n)=5n+9

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer: i dont know i want points

step-by-step explanation: