Answer:
Step-by-step explanation:
Let's first find the exponential function that models the situation in year one. The exponential standard form is
where a is the initial value and b is the growth/decay rate in decimal form. If it is growth it is added to 100% of the initial value; if it is decay it is taken away from 100% of the initial value. We are told that the number of cars in year one was 80 million, so
a = 80 (in millions)
If b is increasing by 10%, then we are adding that amount to the initial 100% we started with to give us 100% + 10% = 110% or, in decimal form, 1.1
The model for our situation is
where y is the number of cars after x years goes by. We want to find the difference between years 3 and 2, so we will use our model twice, replacing x with both a 2 and then a 3 and subtracting.
When x = 2:
and
y = 80(1.21) so
y = 96.8 million cars
When x = 3:
and
y = 80(1.331) so
y = 106.48 million cars
The difference between years 3 and 2 is
106.48 - 96.8 = 9.68 million cars
Answer:
394.67 minutes (or about 6.58 hours)
Step-by-step explanation:
<u>For 145.8 feet long fence:</u>
At a rate of 2.25 feet per minute, its gonna take him
minutes to pain
Also
At a rate of 0.75 feet per minute, its gonna take him
minutes to stain
<u>For 76.2 feet long fence:</u>
At a rate of 2.25 feet per minute, its going to take him
minutes to pain
At a rate of 0.75 feet per minute, its gonna take him
minutes to stain
In total, it's gonna take him:
64.8 + 194.4 + 33.87 + 101.6 = 394.67 minutes
In hours, that is 394.67/60 = 6.58 hours
Answer:
#10=10
Step-by-step explanation:
Answer:
B. (1,-8)
Step-by-step explanation:
Slope of the first one:
(-6-0)/(0--3) = -6/3 = -2
y = -2x - 6
3y + 30 = 6x
y + 10 = 2x
-2x - 6 + 10 = 2x
4 = 4x
x = 1
y = -2(1) - 6
y = -8
Answer: R = -5
Step-by-step explanation: 3r + 7= -8 is turned into 3(-5) + 7= 8. -15 + 7=8