MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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]

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]