Fuel Consumption From 1995 to 2002, the total fuel consumption T (in billions of gallons) by cars in the United States and the U. S. population P (in millions) can be
modeled by
T = -0.003x3 – 0.02x2 + 1.3x + 68 and P = 3x + 267
where x is the number of years since 1995. Write a function for the average amount
of fuel consumed by each person from 1995 to 2002.
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why can't you?

step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b