Answer:
Q12. p = 5n + 12
Q13. See below.
Q14. y-intercept = (0, -3); x-intercept = (-3/2, 0).
Step-by-step explanations:
Question 12. Perimeter
One triangle: p₁ = 2×6 + 1×5
Two triangles: p₂ = 2×6 + 2×5
Three triangles : p₃ = 2×6 + 3×5
n triangles: pₙ = 2×6 + n×5
General formula: p = 5n + 12
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Question 13. Modelling a function
Here's one possible table of values.
x y
-3 3
-2 1
-1 -1
0 -3
1 -5
You can see the graph of the function in Fig. 1 below.
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Question 14. x- and y-intercepts
y- intercept
y = -2x – 3 Set x = 0
y = -2×0 – 3
y = 0 – 3
y = -3
The y-intercept is at (0, -3).
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x-intercept
y = -2x – 3 Set y = 0
0 = -2x – 3 Add 3 to each side
3 = -2x Divide each side by -2
x = -3/2
The x-intercept is at (-3/2, 0).
