Questions: For spring semester 2009, a college charged 20 per unit (credit or hour) for tuition. All students paid a 1 student representation fee each semester. Students who drove to school paid a 50 parking fee each semester. Let T be the total one-semester cost (in dollars) of tuition and fees for a student who drove to school and took u units of classes. Answer parts (a), (b), and (c). a. Find an equation for u and T. [Hint: If there is trouble finding the equation, try creating a table of values for u and T.] The equation that describes the relationship between T and u is T = (Simplify your answer. Type an expression using u as the variable.)

For spring semester 2009, a college charged 20 per unit (credit or hour) for tuition. All students paid a 1 student representation fee each semester. Students who drove to school paid a 50 parking fee each semester. Let T be the total one-semester cost (in dollars) of tuition and fees for a student who drove to school and took u units of classes. Answer parts (a), (b), and (c).
a. Find an equation for u and T. [Hint: If there is trouble finding the equation, try creating a table of values for u and T.]

The equation that describes the relationship between T and u is T = 
(Simplify your answer. Type an expression using u as the variable.)
Transcript text: For spring semester 2009, a college charged $\$ 20$ per unit (credit or hour) for tuition. All students paid a $\$ 1$ student representation fee each semester. Students who drove to school paid a $\$ 50$ parking fee each semester. Let T be the total one-semester cost (in dollars) of tuition and fees for a student who drove to school and took u units of classes. Answer parts (a), (b), and (c). a. Find an equation for $u$ and $T$. [Hint: If there is trouble finding the equation, try creating a table of values for $u$ and $T$.] The equation that describes the relationship between T and u is $\mathrm{T}=\square$ $\square$ (Simplify your answer. Type an expression using $u$ as the variable.)
failed

Solution

failed
failed

Solution Steps

To find the equation for \( T \) in terms of \( u \), we need to consider all the costs involved for a student who drives to school. The total cost \( T \) includes the cost per unit, the student representation fee, and the parking fee. The cost per unit is \( \$20 \), the student representation fee is \( \$1 \), and the parking fee is \( \$50 \). Therefore, the total cost \( T \) can be expressed as a function of the number of units \( u \).

Step 1: Define the Total Cost Equation

The total cost \( T \) for a student who drives to school and takes \( u \) units of classes can be expressed as: \[ T = 20u + 1 + 50 \] This simplifies to: \[ T = 20u + 51 \]

Step 2: Calculate Total Cost for \( u = 5 \)

Substituting \( u = 5 \) into the equation: \[ T = 20(5) + 51 \] Calculating this gives: \[ T = 100 + 51 = 151 \]

Final Answer

The total cost \( T \) when \( u = 5 \) is: \[ \boxed{T = 151} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful