The table and graph show that each cracker in a package has 7 calories

Can anyone help with these? I appreciate and I will award 5 stars and brainliest

nekit [7.7K]

Graph 1

coordinates : (0,-5) (-6,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-5))/(-6-0)

m = 3/-6 = -1/2

Substitute the values,

y = mx + c

-2 = (-1/2)(-6) + c

-2 = 3 + c

c = -5

Thus, equation is y = -1/2x -5

Graph 2

coordinates : ( 4,-2) (-5,3)

m = (y2-y1)/(x2-x1)

m = (3-(-2))/(-5-4)

m = 5/-9

Substitute the values,

y = mx + c

-2 = (-5/9)(4) + c

-2 = -20/9 + c

c = 2/9

Thus, the equation is y = -5/9 + (2/9)

Hope it helps :)

8 0

4 years ago

a band of 45 ewoks crash-landed in the forest last night. this sounds like a small problem, but the population will grow at the

kogti [31]

Given Information:

Starting population = P₀ = 45

rate of growth = 22%

Required Information:

Population every five years from this year to the year 2050 = ?

Answer:

$Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\$

Step-by-step explanation:

The population growth can be modeled as an exponential function,

$P(t) = P_0e^{rt}$

Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.

We are given that starting population of 45 and growth rate of 22%

$P(t) = 45e^{0.22t}$

Assuming that the starting year is 2020,

$Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\$

Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.

8 0

3 years ago

i dont understand equations of parallel and perpendicular lines here's one of my teachers examples y=2x+4 (-2,1)

SIZIF [17.4K]

Parallel lines will never touch each other while perpendicular forms like an X shape. The slope for the parallel is the same while the perpendicular is a negative reciprocal. (Ex for negative reciprocal. 2/4=4/2)

8 0

3 years ago

How many yards are in 60 ft

mamaluj [8]

Answer:20 yards

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?

WITCHER [35]

The answer is B because its is

3 0

4 years ago