This one actually made me think. I like your teacher.
2h 30min (2.5)×30mph=75m
1h 30min (1.5)x50mph=75m
1 hour longer when driving to Arkansas
______________________________
11h 12min (11.2)×300mph=3360m
4h 48min (4.8)×700mph=3360m
11h 12min from NY to Paris.
Answer:
f(x) = 2/3 x +3
Step-by-step explanation:
We know the y intercept ( where it crosses the y axis) is 3
We can calculate the slope from 2 points (-3,1) and (0,3)
Slope = (y2-y1)/(x2-x1)
= (3-1)/(0--3)
= (3-1)/(0+3)
= (2/3)
The slope is 2/3
Since we know the slope and the y intercept, we can use the slope intercept form
y= mx+b
y = 2/3 x+3
f(x) = 2/3 x +3
Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

Differentiating area with respect to time,

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
I think x = 1/176
1/2x + 10 = - 1/4x + 54
1/2x + 10 = - 1/4x + 54, x 0
1/2x - 1/4x = 54 - 10
2-1 over 4x = 44
1/4x = 44
1 = 176x
x = 1/176
I could be wrong.