Answer: 33.041666
Step-by-step explanation:
Given: The translated equation : 
To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get
Subtract 87.5 from both the sides , we get
Now, divide 300 on both the sides, we get
First we write the mathematical model in a generic way:
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
Answer:
-5.
Step-by-step explanation:
f(n) = 5n + 6
Just plug in -11/5 for n:
f(-11/5) = 5 (-11/5) + 6
= -11 + 6
= -5.
