Question

Mr. Diaz needs to park his car. For how many hours does Mr. Diaz need to park to make the cost the same in both lots? Do not include units in your answer.

a) Not enough information provided
b) 4 hours
c) 5 hours
d) 6 hours

Answer 1

Mr. Diaz need to park to make the cost the same in both lots in c) 5 hours.(Option c)

Step-by-step explanation:

To find the number of hours Mr. Diaz needs to park for the costs in both lots to be the same, we can set up an equation. Let
`\(C_1\)` and
`\(C_2\)` represent the costs in Lot 1 and Lot 2, respectively, and
`\(h\)` represent the number of hours Mr. Diaz parks. The equation is given by:

`\[C_1 + 2h = C_2 + h\]`

Solving for
`\(h\),` we get:

`\[h = C_2 - C_1\]`

Now, we look at the options provided. The only option where the cost difference between the two lots is equal to the number of hours is option c) 5 hours. Therefore, Mr. Diaz needs to park for 5 hours to make the cost the same in both lots.

In conclusion, the correct answer is 5 hours. This is determined by the cost difference equation, where the number of hours is equal to the difference in costs between the two parking lots. Therefore, by choosing option c), we ensure that the cost in Lot 1 plus twice the parking hours equals the cost in Lot 2 plus the parking hours, resulting in an equal cost for both lots.(Option c)