Answer:
Option B. y = 2x; 20 feet
Step-by-step explanation:
1. Determination of the equation that represents the relationship.
Let y be the distance travelled.
Let x be the time taken.
Let K be the speed.
From the question given above, the following data were obtained:
Distance (y) = 80 ft
Time (x) = 40 s
Speed (k) =.?
Speed = Distance /time
K = y/x ......... (1)
K = 80/40
K = 2 ft/s
Substitute the value of k into equation 1
K = y/x
K = 2 ft/s
2 = y/x
Cross multiply
y = 2x
Therefore, the equation that represents the relationship is y = 2x
2. Determination of the distance travelled in 10 s.
Speed (k) = 2 ft/s
Time (x) = 10 s
Distance (y) =.?
y = 2x
y = 2 × 10
y = 20 ft
Therefore, the person will travel 20 feet in 10 seconds.
From the above calculations, the right answer to the question is
Option B. y = 2x; 20 feet
It is C because a straight line is 180 degrees, eliminating A. That being said, the “bigger angle” is 12x-30 because it is obtuse. B and D are both acute, while C is obtuse. You can also find the answer by finding x as in the equation 3x+(12x-30)=180. By simplification, x=14. So, plugging it in, 12(14)-30=138.
Ok so to find the slope meaning how much quarts can be made in 1 hour you'd need to divide 140 by 7, if you do so you'll find 20. (20 quarts are made in an hour)
Now you can multiply 20 by 12, which is 240.
So, in 12 hours : 240 quarts of ice cream is made.
Answer:4/5
Step-by-step explanation:
y= (1/5)x
y= 1/5 (4)
y= 4/5
Hope it's working :)
