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Brrunno [24]
4 years ago
15

arnob, bella, colin, dante, and erin are going to a baseball game. they have a total budget of $100.00 to spend. each game ticke

t costs $17.50 and each drink costs $2.00. the inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget.
Mathematics
2 answers:
Alex73 [517]4 years ago
7 0
87.50 + 2x < = 100 (thats less then or equal)
sesenic [268]4 years ago
4 0

They can buy only from 0 to 6 drinks, but no more.


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Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0

Apply rule:  a^0=1,\:a\ne \:0

y=1\cdot \frac{3}{2}

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y = 1.5

Therefore, the point representing the y-intercept is:

  • (0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

0=\frac{3}{2}\left(\frac{2}{3}\right)^x

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\left(\frac{2}{3}\right)^x=0

We know that a^{f\left(x\right)} can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

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Step-by-step explanation:

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Gala2k [10]

Answer:

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