The cost varies directly with the number of tickets purchased. It costs $145 for 10 people to attend a concert.

A. What is the constant of proportionality (k)?

B. Write the direct variation equation.

C. Home much does it cost for 8 people?

D. Graph this situation. Be sure to label each axis and give the graph a title.

Question

01-02-2019
Mathematics

contestada

The cost varies directly with the number of tickets purchased. It costs $145 for 10 people to attend a concert.

A. What is the constant of proportionality (k)?

B. Write the direct variation equation.

C. Home much does it cost for 8 people?

D. Graph this situation. Be sure to label each axis and give the graph a title.

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rejkjavik rejkjavik · Answer 1 · 2019-02-10T07:23:39+01:00

Answer:

(a)

[tex]k=14.5[/tex]

(b)

[tex]C=14.5x[/tex]

(c)

the cost of 8 people is $116

(d)

Graph is attached

Step-by-step explanation:

we are given

It costs $145 for 10 people to attend a concert

(a)

Number of people =10

Total cost =145

now, we can find constant proportionality

k= ( total cost)/(number of people)

[tex]k=\frac{145}{10}[/tex]

[tex]k=14.5[/tex]

(b)

Let's assume

cost is C

number of people as x

so, we can set equation as

[tex]C=kx[/tex]

now, we can plug value

[tex]C=14.5x[/tex]

(c)

we can plug x=8

[tex]C=14.5\times 8[/tex]

C=116

So,

the cost of 8 people is $116

(d)

we can draw graph