Question

Can someone help me with these questions? I'm really lost.

1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.

2. Graph the piecewise function.
f(x) = { 3x - 5 if x ≤ - 1 / -2x + 3 if -1 < x < 4 / 2 if x ≥ 4

3. Graph the step function over the interval -2 ≤ x ≤ 2.
f(x) = { x+ 3}

Answer 1

here is the graph!

Explanation:

My graph represents the number of drinks and bags of popcorn that Judy will be able to purchase with her $30. For every two drinks Judy buy’s, she would have to buy one less popcorn.

Answer 2

Explanation:

On the x axis have popcorn going up in 5s and up to the value 30 and on the y axis have drinks going up in 2.5s to the value 15.

The graph should look like similar to an 'exponential graph' because for every popcorn you buy, the drink will be half the price

Its probably late but, I hope this helped!!!.