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

£56

step-by-step explanation:

u divide 24 by 3 and u get 8 so if u do 8 time 7 or 8+8+8+8+8+8+8 u get 56 and 56 divided by 7 is 8.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.