Answer:
Answer (a):
distance traveled per revolution = 1.5 feet
Answer (b):
slope = 1.5 feet per revolution
Step-by-step explanation:
We have been given a graph which shows number of revolutions v/s distance traveled in feet.
Answer (a):
Now we need to find about how far does Miguel travel per revolution. That means find distance traveled in 1 revolution.
From graph we see that 10 revolution corresponds to 15 feet.
then 1 revolution = 15/10 = 1.5 feet
hence final answer is 1.5 feet.
Answer (b):
slope means [change in y-value] / [change in x-value]
From graph we see that 10 revolution corresponds to 15 feet.
then slope = 15/10 = 1.5 feet per revolution
It would be be the first solution, as it follows the format of (y y1) = m(x-x1)
㏒₆₄(0.5) = x
64ˣ = 0.5
㏑(64ˣ) = ㏑(0.5)
x㏑(64) = ㏑(0.5)
x㏑(2⁶) = ㏑(2⁻¹)
6x㏑(2) = -㏑(2)
6㏑(2) 6㏑(2)
x = ⁻¹/₆
3(5x-3)=3x+39
15x-9=3x+39
12x=48
x=4