Identify each function as modeling either exponential growth/exponential decay. What percent of increase/decrease does the function model?y=0.1(1.7)^x

A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.

The function ${\displaystyle y=3.5x+2.8}$ represents the cost y (in dollars) of a taxi ride of x miles.
a. Identify the independent and dependent variables.
b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

The length of an American flag is 1.9 times its width. What is the width of the flag?

Write a recursive rule for the given sequence

Twelve gallons of a salt solution consists of ${\displaystyle 35\mathrm{\%}}$ salt. It is the result of mixing a ${\displaystyle 55\mathrm{\%}}$ solution with a ${\displaystyle 25\mathrm{\%}}$ solution. How many gallons of each of the solutions was used? Let ${\displaystyle x=}$ the number of gallons of the ${\displaystyle 55\mathrm{\%}}$ solution and ${\displaystyle y=}$ the number of gallons of the ${\displaystyle 25\mathrm{\%}}$ solution.

The corresponding modeling system is $\{\begin{array}{l}x+y=12\\ 0.55x+0.25y=0.35(12)\end{array}$

Solve the system by using the method of substitution and what is the ordered pair?

Consider a capital budgeting problem with six projects represented by $0-1\text{variables}{x}_1,x_2,x_3,x_4,x_5,\text{and}{x}_6.$
a. Write a constraint modeling a situation in which two of the projects 1, 3, and 6 must be undertaken.
b. In which situation the constraint "$x_3-x_5=0$" is used, explain clearly:
c. Write a constraint modeling a situation in which roject 2 or 4 must be undertaken, but not both.
d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3. also is NOT undertaken.
e. Explain clearly the situation in which the following 3 constraints are used simulataneously (together):
${\displaystyle x_4\le x_1}$
${\displaystyle x_4\le x_3}$
${\displaystyle x_4\ge x_1+x_3-1}$

${\displaystyle F=Gm1m\frac{2}{r^2}}$ for m2