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Grace [21]
2 years ago
8

Josie is making pizza dough. Complete the double number line by filling in the missing values

Mathematics
1 answer:
Softa [21]2 years ago
4 0

Answer:

n = \frac{4}{3}c

c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

(c_1,n_1) = (\frac{3}{4},1)

(c_2,n_2) = (3\frac{3}{4},5)

First, calculate the rate of change (i.e. slope, m):

m = \frac{n_2 - n_1}{c_2 - c_1}

m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}

m = \frac{4}{3}

So: the equation is:

n = m(c - c_1) + n_1

This gives:

n = \frac{4}{3}(c - \frac{3}{4}) + 1

n = \frac{4}{3}c - 1 + 1

n = \frac{4}{3}c

So, the above represents the relationship between n and c.

<u>To complete the table</u>

When n = 2

Substitute n = 2 in: n = \frac{4}{3}c

2 = \frac{4}{3}c

Make c the subject

c = \frac{3*2}{4}

c = \frac{3}{2}

When n = 3

Substitute n = 3 in: n = \frac{4}{3}c

3 = \frac{4}{3} * c

Make c the subject

c = \frac{3*3}{4}

c = \frac{9}{4}

When c=3

Substitute c=3 in: n = \frac{4}{3}c

n = \frac{4}{3} * 3

n = 4

So, the complete table is:

c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5

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