You go to dinner and decide to leave a 15% tip for the server. You had $45 when you came to tthe restaurant.
What is a function that relates the cost of the meal c to the amount of money you have left A(c).
that would be
A)c) = 45 - 1.15c
eg. if your meal was $30, your tip would be 30*.15 = 4.50
so your meal would cost 34.50
you would have left 45-34.50 = 10.50
from the function
A(30) = 45 - 1.15(30) = 10.50
you would have left 45-34.50 = 10.50
The function that relates the cost of the meal (c) to the amount of money you have left (A(c)) can be represented by the equation:
A(c) = $45 - (0.15 * c)
To determine a function that relates the cost of the meal c to the amount of money you have left A(c), we can start by understanding the given information.
When you entered the restaurant, you had $45. After paying for the meal and leaving a 15% tip, the remaining money represents the amount you have left.
Let's break down the calculation:
- The cost of the meal c is the amount you spent on food before including the tip.
- You leave a 15% tip, which can be calculated as 0.15c (15% written in decimal form multiplied by the cost of the meal).
- The total amount of money spent is the sum of the cost of the meal and the tip: c + 0.15c = c(1 + 0.15) = 1.15c.
- The amount of money left after paying for the meal and tip can be determined by subtracting the total amount spent from the initial amount of money you had: $45 - 1.15c.
Thus, the function that relates the cost of the meal c to the amount of money you have left A(c) is:
A(c) = $45 - 1.15c