Respuesta :

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

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