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# College Algebra 7th

## Educators

AG

### Problem 1

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$____ legs.

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AG
Ankit G.

### Problem 4

Use the model given to answer the questions about the object or process being modeled.

AG
Ankit G.

### Problem 16

Write an algebraic formula that models the given quantity.
The amount $T$ of a $15 \%$ tip on a restaurant bill of $x$ dollars

AG
Ankit G.

### Problem 17

Write an algebraic formula that models the given quantity.
The distance $d$ in miles that a car travels in $t$ hours at $60 \mathrm{mi} / \mathrm{h}$

AG
Ankit G.

### Problem 18

Write an algebraic formula that models the given quantity.
The speed $r$ of a boat that travels $d$ miles in $3 \mathrm{h}$

AG
Ankit G.

### Problem 19

A pizza parlor charges $\$ 12$for a cheese pizza and$\$1$ for each topping.
a. How much does a 3 -topping pizza cost?
b. Find a formula that models the cost $C$ of a pizza with $n$ toppings.

AG
Ankit G.

### Problem 21

The cost of the electricity needed to drive an all-electric car is about 4 cents per mile. The cost of the gasoline needed to drive the average gasoline-powered car is about 12 cents per mile.
a. Find a formula that models the energy cost $C$ of driving $x$ miles for
i. the all-electric car and
ii. the average gasoline-powered car.
b. Find the cost of driving 10,000 mi with each type of car.

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### Problem 22

A fruit crate has square ends and is twice as long as it is wide.
a. Find the volume of the crate if its width is 20 in.
b. Find a formula for the volume $V$ of the crate in terms of its width $x$

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### Problem 23

In many universities students are given grade points for each credit unit according to the following scale:
A 4
points
B 3
points
C 2
points
$D \quad 1$ point
$F \quad 0$ point
For example, a grade of A in a 3 -unit course earns $4 \times 3=12$ grade points and a grade of $\mathrm{B}$ in a 5-unit course earns 3 $\times 5=15$ grade points. A student's grade point average (GPA) for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is $(12+15) / 8=3.375$
a. Find a formula for the GPA of a student who earns a grade of A in $a$ units of course work, $\mathrm{B}$ in
$b$ units, $\mathrm{C}$ in $c$ units, $\mathrm{D}$ in $d$ units, and $\mathrm{F}$ in $f$ units.
b. Find the GPA of a student who has earned a grade of A in two 3 -unit courses, $\mathrm{B}$ in one 4 -unit course, and C in three 3-unit courses.

AG
Ankit G.