Suppose you have $30 to spend on a bag is tootsie rolls that are worth $3 and bags of lolli-pops worth $5.if you have to use all of their money , what combinations of candy bags can they buy ? construct a liner equation and find /explain the y -intercept, x-intercept ,and slope

Part a)

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Part a) Construct a liner equation

Let

x ----> the number of bags of  tootsie rolls

y ----> the number of bags of lolly-pops

we know that

The number of bags of tootsie rolls bought multiplied by their price ($3) plus the number of bags of lolly-pops bought multiplied by their price ($5) must equal $30

so

The linear equation that represent this problem is

Part b) Find the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x s equal to zero

In this context, the y-intercept is the number of bags of lolly-pops that i can buy when the number of bags of tootsie rolls is equal to zero

For x=0

The y-intercept is the point (0,6)

so

I can buy 6 bags of lolly-pops and 0 bags of tootsie rolls

Find the x-intercept

The x-intercept is the value of x when the value of y s equal to zero

In this context, the x-intercept is the number of bags of tootsie rolls that i can buy when the number of bags of lolly-pops is equal to zero

For y=0

The x-intercept is the point (10,0)

so

I can buy 10 bags of  tootsie rolls and 0 bags of lolly-pops

Part c) Find the slope

we have

isolate the variable y

The slope is m=-3/5  ---> is negative because is a decreasing function        

That means ---> For every three less lollipops you get, you can have 5 more tootsie rolls

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

idk the answer but just put a

step-by-step explanation: