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secondary 3 | A Maths
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need help with this qn,, pls explain too :)
dont really understand the qns from part ii to iv
lg y = lg kb^x
lg y = lg k + lg b^x
lg y = lg k + x lg b
lg y = (lg b) x + lg k
We need to plot lg y on the vertical against x on the horizontal
Gradient is equal to lg b
Vertical intercept is equal to lg k
(ii)
Once you obtain the gradient, lg b is the gradient. So let's say, for example, the gradient is 1. Then, lg b = 1, so that b = 10^1 = 10. I am only using this as an example since I would need to evaluate the actual gradient of the line. In your case, b = 10^gradient.
Similarly, lg k is the vertical intercept. Read off the intercept from your graph, and this will be your lg k. So, k = 10^intercept.
(iii)
From the graph, when x = 2.5, lg y = ...
Do graph tracing there.
lg y = ...
y = 10^(the reading you just obtained)
(iv)
Locate which is the worst point (the one which is far off the line)
Assume the x-value of that point is correct, find out the value of lg y of the graph for the x value you just identified
lg y = ...
y = 10^(the reading you just obtained)
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