13 points plus brainliest to the correct answer!Taryn conducted a science experiment on saturation. She added sugar to a sugar-water solution at different intervals. The graph shows how much sugar was in the solution at different times.Which equation represents Taryn’s situation, where x is the number of minutes and y is the tablespoons of sugar?y = x + 1y=12x+1y = 2x + 1y = x
Question
Answer:
The equation of a straight line is given by:y = mx + c
where m is the slope and c is the y-intercept.
From the given graph, the y-intercept is 1.
The slope of a straight line is given by:
[tex]m= \frac{y_2-y_1}{x_2-x_1} [/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.
From the graph, (0, 1) and (14, 8) are two points on the line, thus:
[tex]m= \frac{8-1}{14-0} = \frac{7}{14} = \frac{1}{2} [/tex]
Therefore, the equation representing the graph is [tex]y= \frac{1}{2} x+1[/tex]
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10 months ago
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