To find the cost of tiling Parker's kitchen, we first need to calculate the area of the kitchen in square feet.
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{length} \times \text{width} \]
For Parker's kitchen:
\[ A = 10 \text{ feet} \times 6 \text{ feet} = 60 \text{ square feet} \]
Next, since each tile covers 1 square foot, Parker will need 60 tiles to cover the entire kitchen.
The cost of each tile is $5. Therefore, the total cost \( C \) can be calculated as follows:
\[ C = \text{number of tiles} \times \text{cost per tile} \]
\[ C = 60 \text{ tiles} \times 5 \text{ dollars/tile} = 300 \text{ dollars} \]
So, Parker will spend a total of $300 to put tile in his kitchen.