First off change everything to minutes. The 600 is irrelevant in this problem. He can mow this size in 80 minutes. 8 hours is 8x60= 480. 480/80 is 6 and therefore he can mow 6 lawns in this size in time of 8 hours
So first divide the equation on both sides by 3. We get
. Slope-y-intercept form is of the form
. Rearranging
, we get
. Divide by two, we get
, which is of that form.
Graphing: The y intercept is at -2, and the slope is 1/2.
Short answer:
25 inches is the perimeter of the larger rectangle
Long answer:
Imagine that you have a rectangle where every single side is 1 inch long. The total perimeter of the card is 4 inches, 1+1+1+1. The total perimeter is 4 inches.
Now imagine that you have a larger rectangle which is 1.25 times as wide and long as the smaller rectangle. In other words each side of the larger rectangle is 1.5 inches long. The perimeter of the larger card is 1.25+1.25+1.25+1.25. Because each 1 in the original equation was multiplied by 1.25. The perimeter of your larger rectangle is 5 inches.
Turn that into an equation. 5 inches equals 4 inches times 1.25. In other words, (larger rectangle perimeter) equals (smaller rectangle perimeter) times 1.25
Plug in numbers. You get (Larger rectangle perimeter) equals 20×1.25. Solve that and you get 25. 25 is the answer
Hope you understand this! :DPart a)
section A<span><span>f<span>avg</span></span>=<span><span>4(2<span>)2</span>−4(2<span>)1</span></span><span>2−1</span></span>=8</span>section B <span><span>f<span>avg</span></span>=<span><span>4(2<span>)4</span>−4(2<span>)3</span></span><span>4−3</span></span>=32</span>
Part b)
The rate of change is greater between x = 3 and x = 4 than between x = 2 and x =1 because an exponential function's rate of change is increasing, unlike a linear function which has a constant rate of change.
Answer:3
Step-by-step explanation:
