Your Turn Practice #1: Your class is taking a trip to the public library. You can travel in small and large vans. A small van holds 8 people and a large van holds 12 people. Your class could fill 15 small vans and 2 large vans. Write an equation in standard form that models the possible combination of small and large vans that your class could fill. Practice #2: Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 feet per day. Write an equation for the water level, L, after d days. In how many days will the water level be 28 feet?

Laura invested 16,400 in the stock market. Some of the stock is in Bryan bottling that costs $45 a share and the rest is in green gadgets that cost $51 a share. Write an equation that model this situation. Let b represent the number of shares purchased of Bryan bottling stock and let g represent the number of shares purchased of green gadgets stock. What is the equation ?

A video game enthusiast is planning to attend a convention where the latest technologies, products, and games will be showcased. There is a $75 registration fee to attend the con- vention. She plans to stay at a hotel with a daily rate of $210 and spend $30 on meals per day. Create an equation to represent her expenses for the convention based on the number of days she will be in attendance. Then, use your equation to answer the following question. How much will she spend to attend the convention for 3 days? A B $795 O $735 с $945 $885

When looking at a multi-step equation, how do you know WHEN you should Move Variables?

Amazon offers a Prime Memebership for $79 per year , which qualifies a buyer for a reduced shipping ratr. With the Prime membership, 1 day shipping is $3.99 per shipment. Without the memebership, it is $13.99 per shipment. Write an equation to model the cost x 1day shipment per year for cost without the membership.

Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by the equation y = 1.3x + 9.3 where a represents the number of years since 2000, and y represents the number of falafel plates sold, in thousands. Predict the number of falafel plates the restaurant will sell in 2028. Predict the number of falafel plates the restaurant will sell in 2032.

While painting his house one day, Mr. Cabana had a terrible accident! The bottom of the 20-foot ladder he was standing on started to slide away from the wall! a. Draw a diagram of this situation. Then write an equation that relates the sides of that shape in your diagram. b. Mr. Cabana wants to know how fast he is falling when the ladder is 10 feet above the ground. You need to help him solve this problem, but the equation you wrote in part (a) does not involve rates. What Calculus tools can you use to convert the equation in part (a) to a rate equation? c. Explain why the rate the ladder is sliding down the wall must be related to the rate that the foot of the ladder moving along the ground.

Eric is driving an average of 39 miles per hour, and he is 109.2 miles away from home. After how many hours will he reach his home? Assume Eric will reach home after h hours. Write an equation to model this scenario. There is no need to solve it.

Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by the equation I y = 1.4x + 8 where represents the number of years since 2010, and y represents the number of falafel plates sold, in thousands. Predict the number of falafel plates the restaurant will sell in 2031. 2851.4 Predict the number of falafel plates the restaurant will sell in 2040. 2864 □ X Submit Question X Question Help: Message instructor "X

A company is planning to manufacture snowboards. The fixed costs are $136 per day and the total costs are $7,427 per daily output of 25 boards. What is the average costs per board tend to as production increases?