Please help me If 6 times a number = 3 times the same number, What is that number?
2 answers:
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Answer:
1) Please find attached, the graph of the function
The domain of the function is 0 ≤ x ≤ 30
The range of the function is 330 ≥ x ≥ 0
2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second
3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds
The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds
Step-by-step explanation:
1) The function modelling the height of the balloon is h(x) = -11x + 330
Where;
x = The time of elevation of the balloon
The data for the graphing derived from Microsoft Excel are as follows
x h(x)
0 330
5 275
10 220
15 165
20 110
25 55
30 0
Please find attached, the graph of the function
The domain of the function is 0 ≤ x ≤ 30
The range of the function is 330 ≥ x ≥ 0
Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11
2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable
Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x
Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second
3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds
The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.