1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
I dont know why but a moderator deleted my answer but I hope that you got it. It was actually A. since it was the quotient of 9 not the quotient of x.
Have a great day hon and I hope that this helped you out a lil:)
Answer:
Step-by-step explanation:
Given that,
Rate of change of a function
1. From x = 1 to x = 4
2. From x = 5 to x =8
Then,
Rate of change for first condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (4-1) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
Rate of change for second condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (8-5) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
The rate of change are equal, it shows that the slope are equal.
So, it is a straight line function.
Since it has equal rate of change..
Answer:
True
Step-by-step explanation:
