Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Take two points and substitute them into the formula for calculate the slope (The formula is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]).
Having these points:
[tex](8,4.36)[/tex] and [tex](40,9.80)[/tex]
You can identify that:
[tex]y_2=4.36\\y_1=9.80\\\\x_2=40\\x_1=8[/tex]
Then, the slope is:
[tex]m=\frac{4.36-9.80}{40-8}=0.17[/tex]
Substitute the slope and the coordinates of any point on the line into the equation [tex]y=mx+b[/tex] and then solve for "b":
[tex]4.36=0.17(8)+b\\\\4.36-1.36=b\\\\b=3[/tex]
Therefore, equation in Slope-Intercept form that represents the function is:
[tex]y=0.17x+3[/tex]
Since 1 hour hour has 60 minutes, you need to substitute [tex]x=60[/tex] into the equation and then evaluate, in order to find the cost of surfing the web at the café for one hour. Then:
[tex]y=0.17(60)+3\\\\y=13.2[/tex]
