Answer:
The slope of the graph is 2.5.
Susan spends $2.50 on lunch per day.
Step-by-step explanation:
Given
[tex]Point: (0,0)\ to\ (1,2.5)[/tex]
Required
Which of the given options is true
First, we need to determine the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2.5 - 0}{1 - 0}[/tex]
[tex]m = \frac{2.5}{1}[/tex]
[tex]m = 2.5[/tex]
This implies that the first option is true
Next, we determine the line equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 0 = 2.5(x - 0)[/tex]
[tex]y = 2.5x[/tex]
Substitute 0 for x to determine the y intercept
[tex]y = 2.5* 0[/tex]
[tex]y = 0[/tex]
This implies that the second option is false
The third option is also false
Take x as 1
[tex]y = 2.5 * 1[/tex]
Take x as 2
[tex]y = 2.5 * 2 = 5.0[/tex]
Take x as 3
[tex]y = 2.5 * 3 = 7.5[/tex]
The presence of 2.5 in the equations above indicates that Susan spends $2.50 on lunch daily.
Hence, the fourth option is correct
