This is a work problem. It can be solved as follows:
Houston = 1/x
Dominique = (1/2x)
Together = 1/5
Then, we add Houston and Dominique:
1/x + 1/2x = 1/5
Solve for x,
x = 2/15
Therefore, it would take 15/2 hours for Houston to ice by himself, the last option.
Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5