The two plans will cost the same when Yolanda has driven 233 miles distance. That is, $70 + (0.30 x 233) = $233 = 0.80 x 233.
To find out how many miles Yolanda needs to drive for the two plans to cost the same, we need to set up an equation. The equation should calculate the total cost of each plan. For the first plan, the total cost is the initial fee plus the cost of the miles driven. For the second plan, the total cost is just the cost of the miles driven. We can then set the two equations equal to each other and solve for the number of miles distance driven. The final result is that Yolanda needs to drive 233 miles for the two plans to cost the same.
Plan 1: C = F + (D × CPM)
Plan 2: C = (D × CPM)
Plan 1 = Plan 2
F + (D × CPM) = (D × CPM)
F = 0
D × CPM = D × CPM
D = 233
Therefore, Yolanda needs to drive 233 miles for the two plans to cost the same.
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