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mixas84 [53]
3 years ago
14

Al earns $500 a week selling shoes. He also earns 8% commission on all of his shoe sales. Last week, he sold $1,540 worth of sho

es. How much money did Al earn last week?
Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0
To determine the amount Al made last week, you will need to calculate the commission he made on his sales and add the $500 to that amount.

Here is the math equation showing this:

($1540 x 0.08) + $500 = $623.20

Al made $623.20 last week.
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Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.
abruzzese [7]

Answer:

<u>First, find the cost function of DoItRight Housekeeping:</u>

  • Slope(m) = cost per hour = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12

<em>The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:</em>

f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8

<u>Therefore, the function for two companies are:</u>

  • The function for DoItRight is f(x)=12x+8
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When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

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Answer:

A] The slope of f(x) is greater than the slope of g(x).

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m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are points of the functions.

To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.

m = 1 - (-1) / 3 - 0

m = 1 + 1 / 3

m = 2 / 3

m = 0.66...

To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).

m = 4 - 2 / 5 - 0

m = 2 / 5

m = 0.4

So the slope of f(x) is greater than the slope of g(x).

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