The equation yˆ=−6.2x2+41.5x−5.6 approximates the average number of cars that pass through an intersection x hours after 3:00 p.m.
What is the best estimate for the average number of cars that pass through the intersection at 5:30 p.m.?
a. 35
b. 47*
c. 59
d. 63
I did not. Ok, so would it then be 59?
nope, did you use x = 2.5 ??
yes
Great thank you! I appreciate your help.
To find the best estimate for the average number of cars that pass through the intersection at 5:30 p.m., we need to substitute the value of x into the equation.
Since 5:30 p.m. is 2.5 hours after 3:00 p.m., we can substitute x = 2.5 into the equation:
ŷ = -6.2(2.5)^2 + 41.5(2.5) - 5.6
Simplifying this equation gives:
ŷ = -6.2(6.25) + 41.5(2.5) - 5.6
= -38.75 + 103.75 - 5.6
= 59.4
Therefore, the best estimate for the average number of cars that pass through the intersection at 5:30 p.m. is approximately 59.
Hence, the correct answer is c. 59.