Given:
Table of values.
The train travels at a constant speed.
To find:
The speed of train in miles per hour.
Solution:
From the given table consider any two points, i.e., (0.5,22.5) and (1,45).
The train travels at a constant speed. It means, there is a linear relationship between time and distance.
The average rate of change (Slope) of a linear relationship is
So, average rate of change in distance with respect to time is 45.
Therefore, the speed of the train is 45 miles per hour.
Answer:
B. $8.26
Step-by-step explanation:
13.59 - 1.89 = 11.70
20 - 11.70 = 8.30
A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2
1. Subtract 8 from both sides
2. Simplify to get x= -23
N-2.5 represents the cost for each shirt being subtracted by $2.50 due to the coupon
