ECZ 2016 · GCE Paper 2 · Question 10 — Graphs of Functions

y = x2/5 + 2x. Table of values given (x from 0.3 to 6).

(a(i)) Calculate the value of q (y at x = 6), correct to 1 decimal place.[1]

Verified working — step 1

At x = 6: y = 365+ 26= 7.2 + 0.33 = …

(a(ii)) Draw the graph of y = x2/5 + 2x.[3]

Verified working — step 1

Plot the given (x, y) values on graph paper and join with a smooth curve. The curve falls s…

(a(iii)) Use your graph to solve x2/5 + 2x= 3.[2]

Verified working — step 1

Draw the line y = …

(a(iv)(a)) On the same axes, draw the graph of y = x + 72.[1]

Verified working — step 1

y = x + 72is a straight line. T…

(a(iv)(b)) Hence solve x2/5 + 2x= x + 72.[2]

Verified working — step 1

The solutions are where the line y = x+72crosses the curve y = …

(b) K480 invested at 10% per year compound interest. Find the total interest after 3 years.[3]

Verified working — step 1

Compound interest: A = P(1 + r100)^n = 480(1.1)3

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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