Answer: y = 7.5
Step-by-step explanation:
Suppose that y varies directly with x
That is, y∝x
Convert y∝x to a full equation by introducing a constant k to the right hand side.
Therefore, y = kx
Given that y = 10 and x = 20
Substitute y and x in the equation above. We have;
10 = k(20)
10 = 20k
20k = 10
k = 10/20
k = 0.5
Since k = 0.5, the equation y = kx becomes y = 0.5x
Now, to find y if x = 15, substitute x in equation y = 0.5x
Therefore, y = 0.5(15)
y = 7.5
Answer:
Step-by-step explanation:
Given that:
Kevin charges $10 plus $5 per hours
C = 5h + 10
To find:
The table of values for hours worked from 1 to 5.
Solution:
First of all, let us put h = 1 in the given equation:
C = 5 \times 1 + 10
C = 5 + 10 = $15
Now, let us put h = 2 in the given equation:
C = 5 \times 2 + 10
C = 10 + 10 = $20
Now, let us put h = 3 in the given equation:
C = 5 \times 3 + 10
C = 15 + 10 = $25
Now, let us put h = 4 in the given equation:
C = 5 \times 4 + 10
C = 20 + 10 = $30
Now, let us put h = 5 in the given equation:
C = 5 \times 5 + 10
C = 25 + 10 = $35
So, the table becomes each row incrementing h by 1: