Need needed by 12pm worth 50 points

Q1.

f(x)=2.5x - 10.5

f(2)=2.5(2)-10.5 = -5.5

They'll go up by 2.5 from here:

x 2 3 4 5 6

f -5.5 -3.0 -0.5 2.0 4.5

Each subsequent x halves the value. Our table is now

x 2 3 4 5 6

f -5.5 -3.0 -0.5 2.0 4.5

g 16 8 4 2 1

We see they intersect at x=5

x=5

Check:

f(5) = 2.5(5) - 10.5 = 2

g(5) = 64(.5)^5 = 64/32=2 good

Q2.

The total revenue is really the area under those two lines. For print ads that's a trapezoid,

For online ads it's a triangle:

Those are estimated to be exactly the same, so the marketing executive was exaggerating when they said since started the revenue from online is double that from print. A lying marketing exec, imagine that.

They could have truthfully said that currently the revenue from online ads is triple that from print ads, and that trend is increasing.

It looks like around t=7.5, somewhere in the seventh year, the revenues were equal.

Q3.

A. Just looking at the data evenly spaced every five years,

Year 0 5 10 15

West 100 90 80 70

Dunes 20 45 70 95

These each have a common first difference.

For Western we see a decrease of 10 feet every five years, a slope of -2.

For Dunes we see an increase of 25 feet every five years, a slope of 5.

The y intercepts are the initial values so as equations,

w(t) = -2 t + 100

d(t) = 5t + 20

From the graph we see t between 11 and 12 is the meet. Let's solve the equation.

-2t + 100 = 5t + 20

80 = 7 t

t = 80/7 = 11.4...

Answer part B: between years 11 and 12

Answer part C: solve the equation like we did

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!