Final answer:
The equation representing the total cost of renting a paddle board for a number of half-days is y = 50 + 20x. For 7 half-days, the total cost would be $190.
Step-by-step explanation:
Linear Equation for Paddle Board Rental Cost
The question asks to:
- Write an equation that represents the total cost of renting a paddle board as a function of the number of half-days.
- Find the total cost of renting a paddle board for 7 half-days.
To address part (a), let's denote the number of half-days as x. The company charges a fixed fee of $50 and then $20 per half-day. The total cost, which we can represent as y, will therefore be the fixed fee plus the per half-day fee times the number of half-days (x). This gives us the equation y = 50 + 20x, where y is the total cost and x is the number of half-days.
For part (b), if x is 7 (for 7 half-days), we can plug this into our equation to find the total cost: y = 50 + 20(7, which simplifies to y = 50 + 140. Therefore, the total cost would be $190.