A car is traveling at a constant speed of 50 miles per hour.

The graph represents the amount of time in hours it takes a ship to travel various distances in miles.

1. Write the coordinates of one point on the graph. What does the point represent?
2. What is the speed of the ship in miles per hour?
3. Write an equation that relates the time, \(t\), it takes to travel a given distance, \(d\).

Find a solution to each equation in the list that follows (not all numbers will be used):

1. \(2^x=8\)

2. \(2^x=2\)

3. \(x^2=100\)

4. \(x^2=\frac{1}{100}\)

5. \(x^1=7\)

6. \(2^x\boldcdot 2^3=2^7\)

7. \(\frac{2^x}{2^3}=2^5\)

Select all the expressions that are equivalent to \(5x +30x - 15x\).

Find the value of each expression if \(x\) is 3.

1. \(7x^2-20\)

2. \((x+4)^3\)

3. \(2(x + 3^3)\)

4. \((7-x)^2\)

5. \(0.241 + x^3\)