Marina's father's age is triple her age plus her sister's age, knowing Marina is 12 and her father 48, how old is Marina's siste
2 answers:
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Option C: is the equation that have a greater rate of change.
Explanation:
From the graph the coordinates are (0,0), (20,6), (40,12), (60,18) and (100,30)
We need to determine the rate of change.
The rate of change can be determined using the formula,
Substituting the any two coordinates in the formula, we get, the slope of the equation.
Let us substitute the coordinates (20,6) and (100,30)
Thus, we have,
Simplifying, we get,
Dividing, we get,
Also, the y - intercept of the equation is
The equation of the line becomes
Thus, the equation that has a greater rate of change is
Hence, Option C is the correct answer.
Answer:
The average speed of the second ant is 2 cm/s
Step-by-step explanation:
The details of the ants moving on the sides of the pentagon are;
The length of the sides of the pentagon = 12 cm
The path of the first ant = A to B, B to C, then C to D
The average speed of the first ant = 3 cm/s
The path of the second ant = A to E, and E to D
The time of arrival of the second ant at the point D = The time of arrival of the first ant at the point D
Given that both ants departed at the same time, from point A, we have;
The time it takes the first ant to arrive at the point D = The time it took the second ant to arrive at the point D
The distance from A to B = 12 cm
The distance from B to C = 12 cm
The distance from C to D = 12 cm
∴ The distance traveled by the first ant from A to D = 12 cm + 12 cm 12 cm = 36 cm
Average speed = (Total distance)/(Total Time)
Total time = (Total distance)/(Average speed)
Let 't' represent the time it takes the first ant to move from point A to point D, we have;
t = 36 cm/(3 cm/s) = 12 seconds
Therefore, the time it takes the first ant to move from point A to point D, t = 12 seconds = The time it takes the second ant to move from point A to point D through point E
The total distance traveled by the second ant from A to point E, then from point E to point D, = 12 cm + 12 cm = 24 cm
The average speed of the second ant, v₂ = /t
∴ v₂ = 24 cm/(12 seconds) = 2 cm/s
The average speed of the second ant, v₂ = 2 cm/s.