Indira makes a graph to show how many
pages of her graphic novel she can illustrate
each day.
What is the constant of proportionality for
the relationship between pages and days?

Indira makes a graph to show how many pages of her graphic novel she can illustrate each day. What is the constant of proportionality for the relationship betwe class=

Answer :

akposevictor

Answer:

A. ¾

B. 7½ pages

Step-by-step explanation:

A. Constant of proportionality, k, = [tex] \frac{y}{x} [/tex]

In this case, y = pages, while x = days.

Take any coordinate pair to calculate the constant of proportionality, k. Let's use (3, 4).

[tex] k = \frac{y}{x} = \frac{3}{4} [/tex]

Constant of proportionality = ¾.

B. Number of pages (y), Indira would read in 10 days (x).

Substitute x = 10 and k = ¾, into [tex] k = \frac{y}{x} [/tex]

[tex] \frac{3}{4} = \frac{y}{10} [/tex]

Multiply both sides by 10

[tex] \frac{3}{4}*10 = \frac{y}{10}*10 [/tex]

[tex] \frac{3}{2}*5 = y [/tex]

[tex] \frac{15}{2} = y [/tex]

[tex] 7\frac{1}{2} = y [/tex]

Number of pages Indira can read in 10 days is 7½ pages.

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