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Elanso [62]
2 years ago
7

Angel is saving all of his money for a ticket to Grad Bash. Before he started working, he had $7.50 in his bank account On Satur

day, he works 5 hours and earns $42.50 On Sunday, he works 8 hours and earns $68,00
Which of the following functions models Angels savings?

Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

The second choice is correct. (f(x) = 8.50x+7.50)

Angel had +7.50 dollars to start off with and then worked 5 hours to get 42.50  dollars. This means, she earns 8 dollars 50 cents per hour, meaning that 8.50x would represent the total amount of money that she would earn from her job.

Let me know if this helps!

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Find the equation of the line passing through the points 7,2 and 9,1
bija089 [108]

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

<em>Alternative solution</em>

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

5 0
3 years ago
Talia is buying beads to make bracelets. She makes a bracelet with 7 plastic beads and 5 metal beads for $7.25. She makes anothe
SVETLANKA909090 [29]
<h2>Plastic Beads = $0.50</h2><h2>Metal Beads = $0.75</h2><h2 />

p = Plastic Beads

m = Metal Beads

Equations:

7p + 5m = 7.25

9p + 3m = 6.75

Make one pair of coefficients the same:

3 * (7p + 5m = 7.25) = 21p + 15m = 21.75

5 * (9p + 3m = 6.75) = 45p + 15m = 33.75

Remove that coefficient;

(45p + 15m) - (21p + 15m) = 33.75 - 21.75

(45p - 21p ) + ( 15m - 15m) = 33.75 - 21.75

24p = 12

24p / 24 = 12 / 24

<h3><u>p = 0.5</u></h3><h3 />

Substitute the result into one of the original equations.

(7 * 0.5) + 5m = 7.25

Rearrange to find the missing value:

7.25 - (7 * 0.5) = 5m

7.25 - 3.5 = 3.75

5m = 3.75

5m / 5 = 3.75 / 5

<h3><u>m = 0.75</u></h3>
3 0
3 years ago
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