1 yard is equivalent to 3 feet, 0.5 yards per minute is equivalent to 1 yard per 2 minutes, that would be 3 feet in 2 minutes, divide that by 2 and you get 1.5 feet per minute
If you can label your graph then I could a lot more, but
f(x) = 5x
Ordered pairs : (1,5) (0,0) (2,10)
Domain [0,infinity)
Range [0, infinity)
Mapping
0 0
1. 5
2. 10
3. 15
4. 20
5. 25
1) Point-slope form
(y-y1)=m(x-x1)
m= - 3,
point (3,-4), so x1 = 3, y1 = - 4.
(y+4)= -3(x- 3)
2)Point-slope form
(y-y1)=m(x-x1)
m= - 3/4,
point (4,5), so x1 = 4, y1 = 5.
(y-5)= - 3/4(x-4)
Let t = number of hours
The first candle starts at 8 inches.
It burns at 7/10 inch per hour, so in t hours it burns (7/10)t inches.
After t hours, its length is 8 - (7/10)t
The second candle starts at 6 inches.
It burns at 1/5 inch per hour, so in t hours it burns (1/5)t inches.
After t hours, its length is 6 - (1/5)t
You want the lengths to be equal, so the equation is
8 - (7/10)t = 6 - (1/5)t
Y= - 5x + 7
Use the point and slope to solve for b, which is 7.
