Question

Help me please I’d appreciate it

Answer 1

Writing the Equation of Line described by a scenario

Answer:

Choice B

Explanation:

Scenario: An electronics store has a frequent shopper program. The buyer earns 8 points for every movie purchased.

We can let
`y` be the total earned points and
`x` be the number of movies purchased.

Notice that if I buy a total of
`5` movies, I can earn
`8` points
`5` times! We can apply this to any number of movies I buy like if buy
`11` movies, I will earn
`8 * 11 = 88` points. Generally, we can write this relationship as
`8x` where it tells us the total points I will earn if I buy
`x` movies but we also set it to
`y` so
`y = 8x`.

Now with the equation,
`y = 8x`, we can finally figure out the graph of the given scenario. In graphing an equation of a line we only need two points just as figuring it out. If the two points is on graph given by the choices, that is the graph. We can choose the points
`(2, 16)` and
`(5, 40)` and we can see Graphs B and D touches these points. But how is there two answers tho?

There's a catch! We also have to note that
`x` accounts for natural numbers only because the electronics store doesn't sell half the movie or
`0.623` movies. In the graph of Choice D,
`x` includes all real numbers so Choice D shouldn't be the answer.

So Choice B.