Questions: (a) y=-2.514x (b) y=0.05+0.0001x (c) y=28.9-0.2x (d) y=0.2x-28.9 (e) y=-6.7-100x

Transcript text: Question 13 of 16 (a) $y=-2.514 x$ (b) $y=0.05+0.0001 x$ (c) $y=28.9-0.2 x$ (d) $y=0.2 x-28.9$ (e) $y=-6.7-100 x$

Solution

Solution Steps

Step 1: Analyze the graph

We need to find the equation that represents graph (v). The line in graph (v) has a positive slope and a positive y-intercept.

Step 2: Eliminate incorrect options

(a) y = -2.514x: This represents a line with a negative slope, so it cannot be graph (v).
(b) y = 0.05 + 0.0001x: This has a positive slope and y-intercept, so it's a possible candidate.
(c) y = 28.9 - 0.2x: This has a negative slope, so it's not graph (v).
(d) y = 0.2x - 28.9: This has a positive slope, but a negative y-intercept, while graph (v) has a positive y-intercept.
(e) y = -6.7 - 100x: Both the slope and y-intercept are negative, so it cannot be graph (v).

Step 3: Compare remaining option to the graph

The only remaining option is (b) y = 0.05 + 0.0001x. The graph (v) appears to have a y-intercept close to zero and a small positive slope. Option (b) aligns with this observation.