The graph provides distance as a linear function of time.
The y-intercept is zero.
The line passes through (0,0) and (6,120).
Calculate the slope.
m = (120 - 0)/(6 - 0) = 20
The equation of the line is
d = 20t
where
t = time, hours
d = distance, miles
Therefore distance is the dependent variable.
When t = 24 hours, the distance is 20*24 = 480 miles.
Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
d = 20t
where
t = time, hours
d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.
Answer:
<em>Correct choices: B, D</em>
Step-by-step explanation:
<u>The Volume of a Rectangular Prism</u>
Given a rectangular prism of dimension W, L, and H, the volume is calculated as:
V = WLH
Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.
A: V = 5*3*4 = 60 cube cm
B: V = 3*3*4 = 36 cube cm
C: V = 3*4*2 = 24 cube cm
D: V = 6*2*3 = 36 cube cm
E: V = 2*4*2 = 16 cube cm
Correct choices: B, D
Answer:
y=-4/3x-8/3
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3
y=-4/3x + b
Substituting,
-4=-4/3+b
-12/3+4/3=b
b=-8/3
y=-4/3x-8/3
Answer:
8(15-m)
Step-by-step explanation:
By looking at the options, we can understand that the right one is 8(15-m), since we need to multiply the time by the number of question.
Also, we can check that result by arranging an equations usint the total time.
55 = 3m - 8(15-m)
55 = 3m - 120 + 8m
55 = 11m - 120
55 + 120 = 11m
175 = 11m
m = 175/11 = 15.91
55 = 3*15.91 - 8(15-15.91) = 47.73 - 120 + 127.28 = 55.01 ≈ 55
