Friday’s temperature was

$$20 ^ { \circ }$$

warmer than Monday’s temperature t. Write an expression for Friday’s temperature.

Amelia is shopping at an online store. Shipping for each order costs a flat fee of $6.75. Sales tax is 8%. Will Amelia get a better deal if the shipping fee is applied to the order before sales tax, or after sales tax? Explain.

Does a proportional relationship have a constant rate of change? _

George drives at 45 mi/h. Write an expression for the number of miles George travels in h hours.

Compare the structure of a spore with that of a seed.

You are building a scale model of a park that is planned for a city. The model uses the scale below. a centimeters = 2 meters The park will have a rectangular reflecting pool with a length of 20 meters and a width of 12 meters. In your scale model, what will be the area of the reflecting pool? F.

$$60 \mathrm { cm } ^ { 2 }$$

G.

$$120 \mathrm { cm } ^ { 2 }$$

H.

$$480 \mathrm { cm } ^ { 2 }$$

I.

$$960 \mathrm { cm } ^ { 2 }$$

Brianna practices the piano 30 minutes each day. a. Write an expression for the number of hours she practices in d days. b. Find the number of hours Brianna practices in 2, 4, and 10 days.

Graph the function. Compare the graph to the graph of

$$f ( x ) = \sqrt [ 3 ] { x }$$

.

$$g ( x ) = \sqrt [ 3 ] { x + 1 }$$

Tell whether the function represents exponential growth or exponential decay. Then graph the function.

$$y = \left( \frac { 1 } { 6 } \right) ^ { x }$$

Solve each inequality and graph the solutions.

$$\frac { 1 } { 4 } ( p - 10 ) \geq 6 - 4$$

Use a scalar line integral to find the length of the following curves. $\mathbf { r } ( t ) = \left\langle 20 \sin \frac { t } { 4 } , 20 \cos \frac { t } { 4 } , \frac { t } { 2 } \right\rangle$, for $0 \leq t \leq 2$

Find an expression for the perimeter of a rectangle with the given area.

$$A = x^2 + 24x - 81$$

How can we modify almost any algorithm to have a good best-case running time?

Determine if the minimum problem is in standard form. Minimize $\qquad C = 2x_1 +2x_2+x_3 \quad$ subject to the constraints

$$\begin{array}{rll} 2x_1 & +3x_2 &+x_3 &\geq 100 \\ x_1 & +2x_2 &+2x_3 & =160 \\ x_1\geq 0, & & x_3\geq 0\end{array}$$