Use the given x and y values to write a direct variation equation x=5, y=30
1 answer:
Answer:
The direct variation equation is y = 6x
Step-by-step explanation:
The direct variation equation is y = kx, where
- k is the constant of variation
To find the value of k, use the initial values of x and y
∵ y = 5, y = 30
∵ y = k x
→ Substitute the values of x and y to find k
∵ x = 5 and y = 30
∴ 30 = k (5)
∴ 30 = 5k
→ Divide both sides by 5
∴
∴ 6 = k
→ Substitute it in the form of the equation
∴ y = 6x
The direct variation equation is y = 6x
You might be interested in
Answer:
Inequality based on number of ice-cream scoops:
Inequality based on number of strawberries: .
Step-by-step explanation:
Let S be the number of sundaes and M be number of milkshakes Ramses makes.
We have been given that a sundae requires 3 ice-cream scoops and 4 strawberries. A milkshake requires 2 ice-cream scoops and 6 strawberries.
The number of ice-cream scoops used in making S Sundaes will be 3S. The number of ice-cream scoops used in making M milkshakes will be 2M.
As Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops, so the inequality representing the condition based on the number of ice-cream scoops will be:
The number of strawberries used in making S Sundaes will be 4S. The number of strawberries used in making M milkshakes will be 6M.
As Ramses wants to make sundaes and milkshakes with at most 37 strawberries, so the inequality representing he condition based on the number of strawberries will be: