We have the following function:
f(t) = −16t2 + 34t + 546
By definition, the average rate of change is:
Avr = (f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 5:
f (5) = -16*(5)^2 + 34*(5) + 546
f (5) = 316
For t2 = 5:
f (7) = -16*(7)^2 + 34*(7) + 546
f (7) = 0
Substituting values:
Avr = (0 - 316) / (7 - 5)
Avr = -158
Answer:
The average rate of change of f (t) from t = 5 seconds to t = 7 seconds is -158 feet per second.
Answer:
A
Step-by-step explanation:
Answer:
426
Step-by-step explanation:
Subtract 247 from 673 to get 426
Just divide them and see which one gives you 60.
300 / 6 = 50
300 / 5 = 60
240 / 6 = 40
240 / 5 = 48
Therefore B has a unit rate of 60 MPH.
Answer:
Step-by-step explanation:
Given:
Slope (m) = ⁴/3
Point on the line = (x, y) = (3, 2)
Required:
Write the equation in slope-intercept form which is y = mx + b
Solution:
Since we know the slope(m), we need to find the y-intercept (b).
This, substitute (x, y) = (3, 2) and m = ⁴/3 into y = mx + b, and solve for b. Thus:
2 = ⁴/3(3) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
To write the equation, substitute m = ⁴/3 and b = -2 into y = mx + b
