You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company - charces $50 per day plus $0.25 per mile. Company B charges $35 per day plus $0.30 per mile. For how manu miles wint thy cost of renting be the same? miles

Question

You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company - charces  $50 per day plus  $0.25 per mile. Company B charges  $35 per day plus  $0.30 per mile. For how manu miles wint thy cost of renting be the same? miles

Bytelearn · Accepted Answer

Set up equation: Let's denote the number of miles driven as 'm'. We need to set up an equation where the cost of renting from Company A is equal to the cost of renting from Company B. Company A's cost: $50 + $0.25m Company B's cost: $35 + $0.30m Set the two costs equal to each other to find the number of miles where they will be the same. $50 + $0.25m = $35 + $0.30mSubtract to isolate terms: Subtract $35 from both sides to isolate the terms with 'm' on one side. $50 - $35 + $0.25m = $35 - $35 + $0.30m $15 + $0.25m = $0.30mSubtract to get 'm' terms: Now subtract $0.25m from both sides to get the 'm' terms on one side and the constants on the other. $15 + $0.25m - $0.25m = $0.30m - $0.25m $15 = $0.05mDivide to solve for 'm: Divide both sides by $0.05 to solve for 'm'. $15 / $0.05 = $0.05m / $0.05 m = 300

You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company A charges $\$50$ per day plus $\$0.25$ per mile. Company B charges $\$35$ per day plus $\$0.30$ per mile. For how many miles will the cost of renting be the same? $\text{ miles}$

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