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Year 10 Maths - 10A Parabolas and Other Graphs

Choosing a Model: Linear, Quadratic or Exponential

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Question 1
209732

Consider the table of values below.

\(x\)\(0\)\(1\)\(2\)\(3\)\(4\)
\(y\)\(5\)\(8\)\(11\)\(14\)\(17\)

(a) Find the first differences.

(b) State the type of model that fits the table.

(c) Write a rule for \(y\) in terms of \(x\).

Part a: (a) each first difference \(=\) 
3
1 mark
Part b:
A.
Linear
Correct
B.
Quadratic
C.
Exponential
Part c: (c) gradient \(=\) 
3
1 mark
Part d: \(y\)-intercept \(=\) 
5
1 mark

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