y=2x-3
James decides to walk from school to the park to play ball. The park is only 0.5 mile from the school. He leaves school at 3:15
and arrives at the park at 3:25. At what rate is James traveling?
A) 1 mile/10 minutes
B) 1 mile/15 minutes
C) 1 mile/20 minutes
D) 1 mile/30 minutes
A) 1 mile/10 minutes
B) 1 mile/15 minutes
C) 1 mile/20 minutes
D) 1 mile/30 minutes
1 answer:
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Let's call the length of the rectangular fence and the width of the rectangular fence
.
Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:
Now, let's substitute in the values we are given in the problem:
Now, let's solve the system using substitution.
- Solve for
from the first equation
- Substitute this value into the second equation
- Simplify
- Multiply both sides of the equation by
- Subtract
from both sides of the equation
- Factor
and
- Use the Zero Product Property and solve both factors
We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:
Thus, our answer is Choice C, or 10 feet by 24 feet.