This is a linear function evaluation problem. The function G(x)=24+47x gives the drone's distance from the operator after x minutes. The constant 24 is the starting distance, and 47 is the rate of change in yards per minute. To evaluate G(1.9), substitute 1.9 for x. Then compute G(1.9)=24+47(1.9). Multiplying first gives
47×1.9=89.3. Adding 24 gives 113.3. Because the function measures distance in yards, the result means the drone is 113.3 yards from the operator after 1.9 minutes. The other options do not result from correctly substituting 1.9 into the function. Therefore, the correct answer is D.

The function A(t)represents the number of people expected to audition this year.
The input trepresents the number of people who auditioned last year.
The problem says this year's number is expected to be 3 less than last year's number. Therefore, the function rule is:
A(t)=t-3
We are told that 280 people auditioned last year, so:
t=280
Substitute 280into the function:
A(280)=280-3
A(280)=277
So, the notation that represents the number of people expected to audition this year is:
A(280)=277
This means if 280 people auditioned last year, then 277 people are expected to audition this year.
Therefore, the correct answer is:
# ( " A " )

The contractor charges a flat rate plus a fixed rate per hour, so this situation is modeled by a linear function:
C(t)=mt+b
where:
m= " hourly rate "
and
b= " flat rate "
We are given two points:
(3#220)
and
(5#340)
These mean:
A 3-hour job costs $220.
A 5-hour job costs $340.
First, find the hourly rate using slope:
m=(340-220)/(5-3)
m=120/2
m=60
So the contractor charges:
$60 " per hour "
Now the function has the form:
C(t)=60t+b
Use the point (3#220)to find the flat rate:
220=60(3)+b
220=180+b
b=40
So the function is:
C(t)=60t+40
Check with t=5:
C(5)=60(5)+40
C(5)=300+40
C(5)=340
This matches the given information.

We are told that the number of property sales this year is expected to be 8 times the number of property sales last year.
Let:
x= " number of properties sold last year "
and
H(x)= " number of property sales this year "
Since this year's sales are 8 times last year's sales, the function rule is:
H(x)=8x
The question says that last year's property sales were:
x=360
Substitute 360into the function:
H(360)=8(360)
H(360)=2,880
So the correct notation is:
H(360)=2,880
This means: if 360 properties were sold last year, then 2,880 property sales are expected this year.
Therefore, the correct answer is:
# ( " C " )

The function is:
W(x)=740× # 0.87 # ^x
This is an exponential decay function because the base 0.87is between 0 and 1:
0 < 0.87 < 1
That means the sample's weight decreases over time.
We need to find the weight when:
x=3
Substitute 3into the function:
W(3)=740× # 0.87 # ^3
First calculate the exponent:
# 0.87 # ^3=0.87×0.87×0.87
# 0.87 # ^3=0.658503
Now multiply by 740:
W(3)=740×0.658503
W(3)=487.29222
Rounded to two decimal places:
W(3)#487.29
So the weight of the radioactive sample after 3 years is approximately:
487.29 " oz. "