Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
I prefer to think of this graphically. The weight is rising steadily so it is represented by a straight line (y = mx + c), where time is on the x-axis and mass is on the y-axis. We have been given two co-ordinates on this graph, (4, 100) and (14, 160). We need to find the equation of this graph.
First, realise that the gradient of a linear graph (m) is equal to the change in y over the change in x (Δy/Δx) - the change is just the difference between the two points:
Δy/Δx = (160-100)/(14-4) = 60/10 = 6
This gradient value can now be substituted into the general formula:
y = 6x + c
Next we need to find the constant value, or y-intercept (c). To do this, substitute in one of the sets of coordinates we have been given in the question, where the number of months is x and the mass is y (I'm going to use 4 months and 100kg). Then, solve for c:
y = 6x + c
100 = (6*4) + c
100 = 24 + c
c = 100 - 24 = 76
Now we know the full equation of the graph - y = 6x + 76. The question asks us to find the mass of the wrestler before putting on weight; this is represented by x=0 on the graph, because the x-axis represents time. Therefore, substitute x=0 into the equation to find the y value (the mass of the wrestler):
y = 6x + 76
y = (6*0) + 76 = 76kg
The initial mass of the wrestler was 76kg
I hope this helps
First, realise that the gradient of a linear graph (m) is equal to the change in y over the change in x (Δy/Δx) - the change is just the difference between the two points:
Δy/Δx = (160-100)/(14-4) = 60/10 = 6
This gradient value can now be substituted into the general formula:
y = 6x + c
Next we need to find the constant value, or y-intercept (c). To do this, substitute in one of the sets of coordinates we have been given in the question, where the number of months is x and the mass is y (I'm going to use 4 months and 100kg). Then, solve for c:
y = 6x + c
100 = (6*4) + c
100 = 24 + c
c = 100 - 24 = 76
Now we know the full equation of the graph - y = 6x + 76. The question asks us to find the mass of the wrestler before putting on weight; this is represented by x=0 on the graph, because the x-axis represents time. Therefore, substitute x=0 into the equation to find the y value (the mass of the wrestler):
y = 6x + 76
y = (6*0) + 76 = 76kg
The initial mass of the wrestler was 76kg
I hope this helps
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.