pls help me i really need it

Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of slides ridden and y represent the total cost. Hence:
1) For option 1, the table is shown. It passes through (2,10) and (6, 20). The equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{20-10}{6-2} (x-2)\\\\y=2.5x+5[/tex]
2) For option 2, the equation is given by y = 5x + 7.5
3) For option 3, the graph passes through (30, 100) and (10, 40). Hence the equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-40=\frac{100-40}{30-10} (x-10)\\\\y=3x+10[/tex]
Option 2 has the highest rate