Answer/Step-by-step explanation:
Part A:
The slope of the line showing proportional relationship can be found using any one point, (2, 5), on the line.
Slope = y/x = ⁵/2
Part B:
Abby is wrong. From the graph, we see that the unit rate = 5/2 = 2.5. This implies that beets cost $2.5 per pound.
For exponential functions
y=ab^x,
where
a is the scale vertical stretch factor,
b is the base, and
x the exponent (also independent variable)
It is a know fact that if the scale factor (1/2 or 2 in the answer choices) is positive, the graph is increasing if the base (3 or 1/3) is greater than 1.
This means that the base cannot be equal to 1/3. This eliminates choices 3 and 4.
Next, for a base greater than 1 (3>1), and the scale factor positive, it is a dilation (image gets bigger) if the scale factor is greater than 1. This eliminates the first choice where a=2.
This leaves us with the second choice where a=1/2, b=3, which is a shrink of the given exponential base function.
Answer:
C) -1.255
Step-by-step explanation:
We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:
Residual value = Observed value - predicted value
Residual value = 26 - 27.255
Residual values = -1.255
The answer is -1.255 for residual value.
Answer:
D. 0.71 miles
Step-by-step explanation:
1250 ÷ 1760 = 0.71
Answer:
r = 4 cm
A(circle) = π·r²
= π·(4cm)²
= 3.14·16cm²
= 50.24 cm²
d = 18 in
d = 2r => r = d/2 = 18in/2 = 9 in
A(circle) = π·r²
= 3.14·(9in)²
= 3.14·81in²
= 254.34 in²
