1.
<h3>The y-intercept</h3>
The y-intercept is $35.
The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.
So, from the graph, the y-intercept is $35.
2.
<h3>The meaning of y-coordinate</h3>
The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.
Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.
The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.
3.
<h3>The slope</h3>
The slope is 2.5
Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).
From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)
So, substituting these values into the equation for m, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (57.5 - 42.5)/(9 - 3)
m = 15.0/6
m = 2.5
The slope is 2.5
4.
<h3>Meaning of the slope</h3>
The slope represents the rate at which the lemonade is sold
Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.
The slope represents the rate at which the lemonade is sold
Learn more about straight-line graphs here:
brainly.com/question/14808962