noel and renaldo want to rent bikes with two other friends. they have $150 to spend on bike rentals.
bike rentals
rent 1 bike for 9.75 per hour.
special group rate
for group of 4 or more, save $3.00 per person.
4(9.75h-3)=150
noel says they have enough money to rent the bikes for a miximum of 3 hours. slove the equations for the number of hours,h, in order to determine whether noel is correct.
To determine if Noel is correct about renting the bikes for a maximum of 3 hours, we need to solve the equation mentioned:
4(9.75h - 3) = 150
Let's solve it step-by-step:
Step 1: Distribute the 4 to the terms inside the parentheses:
39h - 12 = 150
Step 2: Add 12 to both sides of the equation to isolate the term with the variable:
39h = 162
Step 3: Divide both sides of the equation by 39 to solve for h:
h = 162/39
Step 4: Simplify the right side to get the decimal equivalent:
h ≈ 4.154
Therefore, the solution to the equation is approximately h = 4.154.
Since h represents the number of hours, we can conclude that Noel is incorrect. They do not have enough money to rent the bikes for a maximum of 3 hours, as the calculated value exceeds this limit.
To determine whether Noel is correct, we need to solve the equation for the number of hours, h. Let's break down the equation step by step.
The bike rental cost for a group of 4 or more people is given by the equation:
4(9.75h - 3) = 150
To solve this equation, we will follow the order of operations (PEMDAS/BODMAS) and distribute the 4 to the terms inside the parentheses.
First, multiply 4 by 9.75:
39h - 12 = 150
Next, isolate the variable on one side of the equation. In this case, we'll move the constant term to the other side by adding 12 to both sides of the equation:
39h - 12 + 12 = 150 + 12
39h = 162
Finally, divide both sides of the equation by 39 to solve for h:
39h/39 = 162/39
h = 4.1538...
Now, since it's not possible to rent a bike for a fraction of an hour, we need to round the answer to the nearest whole number. Therefore, the maximum number of hours they can rent the bikes for is 4 hours, not 3 hours.
Hence, Noel is incorrect.