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Magazine Problem 1
Make a table of values for each equation. Then graph the equation. $$ y=|4 x| $$
Problem 1
For each function, graph the function by translating the parent function. \(y=|x|-3\)
Problem 1
A car enters an interstate highway 15 \(\mathrm{mi}\) north of a city. The car travels due north at an average speed of 62.5 milh. Write an equation to model the car's distance \(d\) from the city after traveling for \(h\) hours. Graph the equation.
Problem 2
A pump removes 1000 gal of water from a pool at a constant rate of 50 gal/min. a. Write an equation to find the amount of water \(y\) in the pool after \(t\) minutes. b. Graph the equation and interpret the \(t\) - and \(y\) -intercepts.
Problem 3
A tree 5 ft tall grows an average of 8 in. each year. Write and graph an equation to model the tree's height \(h\) after \(x\) years.
Problem 4
For each situation, find a linear model and use it to make a prediction. There are 2 leaves along 3 in. of an ivy vine. There are 14 leaves along 15 in. of the same vine. How many leaves are there along 6 in. of the vine?
Problem 5
Make a table of values for each equation. Then graph the equation. $$ y=|-3 x|+2 $$
Problem 5
Graph each equation. Check your work. $$ 5 x-2 y=-4 $$
Problem 5
For each situation, find a linear model and use it to make a prediction. An empty 5 -gal water jug weighs 0.75 lb. With 3 \(\mathrm{c}\) of water inside, the jug weighs 2.25 lb. Predict the weight of the jug with 5 \(\mathrm{c}\) of water inside.
Problem 6
Write an equation for each vertical translation of \(y=|x|\). 4 units up
