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artcher [175]
2 years ago
11

Roger gets \$40$40dollar sign, 40 per day as wages and \$4.50$4.50dollar sign, 4, point, 50 as commission for every pair of shoe

s he sells in a day. His daily earnings goal is \$112$112dollar sign, 112. Write an equation to determine how many pairs of shoes, ppp, Roger must sell in a day to meet his daily earnings goal.
Mathematics
2 answers:
liq [111]2 years ago
8 0

Answer:

112=4.5p+40

16

Step-by-step explanation:

Nimfa-mama [501]2 years ago
4 0

Answer: 4.5p + 40 = 112

Step-by-step explanation:

Let p represent the number of pairs of shoes that Roger must sell in a day to meet his daily earnings goal.

Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. This means that if he sells p shoes in a day, his total earnings for that day is expressed as

4.5p + 40

Since his daily earnings goal is $112, then the equation to determine how many pairs of shoes he must sell to meet his daily earnings goal is

4.5p + 40 = 112

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Answer:

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Step-by-step explanation:

Part a)

We calculate the rate of change using the formula:

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for the first interval [0,6], we calculate the y-values at x=0 and x=6;

at x=0 : y=\frac{3}{2} (0)+2=2

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therefore, the rate of change in this interval is: \frac{y_2-y_1}{x_2-x_1}=\frac{11-2}{6-0}=\frac{9}{6} =\frac{3}{2}

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at x=4 : y=\frac{3}{2} (4)+2=8

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Part b):

Notice that both rates of change equal the value of the slope of the linear function (3/2)

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Answer:

the slope of both lines are the same.

Step-by-step explanation:

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To determine their relationship, we can find the slope of the lines

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Rewrite in standard form y = mx+c

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Multiply through by-1

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Compare

mx = 3x

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