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Answer :
Answer:
25+d(0.50)
Step-by-step explanation:
It costs 25 dollars to rent a vehical but its 50 cents per each mile.
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Rewritten by : Barada
To represent the total cost of renting a van with a variable distance, we can create an equation where the total cost is composed of two parts: a fixed base rate and a variable rate that depends on the number of miles traveled.
Let's use the variables mentioned in the question:
- The base rate is $25, which is a fixed cost that does not change regardless of the number of miles driven.
- The cost per mile is $50, which is the amount charged for each mile driven.
If we let \( d \) represent the number of miles driven, the cost per mile driven will be \( 50d \).
The total cost of renting the van is then represented by the sum of the base rate and the cost per mile driven. Therefore, the equation for the total cost is:
\[ \text{Total cost} = \text{Base rate} + \text{Cost per mile} \times d \]
Inserting the given numbers, the equation becomes:
\[ 35 = 25 + 50d \]
Now, we should solve for \( d \) to find out how many miles were driven.
Step 1: Subtract the base rate from both sides to isolate the term with the variable \( d \) on one side:
\[ 35 - 25 = 50d \]
Step 2: Simplify the left side of the equation:
\[ 10 = 50d \]
Step 3: Divide both sides by the cost per mile to solve for \( d \):
\[ \frac{10}{50} = d \]
Step 4: Calculate \( d \):
\[ d = \frac{10}{50} \]
\[ d = \frac{1}{5} \]
\[ d = 0.2 \]
Thus, according to the question, if the total cost is $35, the distance \( d \) driven must be 0.2 miles.
