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Oksi-84 [34.3K]
3 years ago
5

Jason and his children went into a movie theater where they sell drinks for $4 each and pretzels for $5 each. Jason has $65 to s

pend and must buy at least 14 drinks and pretzels altogether. If
x
x represents the number of drinks purchased and
y
y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
2 answers:
saw5 [17]3 years ago
8 0

Answer:

Jason could buy 13 drinks and 2 pretzels.

Step-by-step explanation:

The inequalities are:

y ≥ 14 − x

by shading up and graph

y ≤ 13 - 4/5x

by shading down

klemol [59]3 years ago
4 0

Answer:

Number of drink = 5

Number of pretzel = 9

Step-by-step explanation:

Given:

Cost of each drink = $4

Cost of each pretzel = $5

Total money = 65

Total number of drink and pretzel = 14

Find:

Number of drink and pretzel

Computation:

Number of drink = x

Number of pretzel = 14 - x

So,

x(4) + (14-x)5 = 65

4x + 70 - 5x = 65

x = 5

Number of drink = 5

Number of pretzel = 14 - x

Number of pretzel = 14 - 5 = 9

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The sum of 9 and twice a number
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Part B was p + 0.2p. Combine the like terms in the expression for part B to create an equivalent expression. PLEASE HELP!
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Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
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Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      27

10                           {}     21

15                           {}     16

20                           {}    12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      40.2

10                           {}    46.3

15                           {}    53.2

20                           {}    61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

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Therefore. the Gasoline car is best approximated by exponential function

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