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coldgirl [10]
3 years ago
9

The table represents a linear function.

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

3

Step-by-step explanation:

For it to be a linear function, then it obeys the general form of a liner equation which is y = mx + c

Where m represents the slope and c represents the y intercept

Now let’s take the last point on the table;

and substitute the values of x and y;

we have;

10 = 2m + c. ••••••••(i)

let’s take the second to the last;

7 = m + c ••••••••••(ii)

So let’s solve both equations simultaneously

Just subtract second from first directly

This gives m = 3

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The viewing room at a planetarium is in the shape of a hemisphere. The diameter of the hemisphere is 48 feet. What is the volume
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A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe
DedPeter [7]

Answer:

The cost of a ribeye steak dinner is $18.60.

The cost of a grilled salmon dinner is $9.03.

Step-by-step explanation:

let r be the cost of a ribeye steak dinner

let g be the cost of a grilled salmon dinner

Represent the two situations using equations:

12r + 39g = 575.53   (equation 1)

25r + 13g = 582.43   (equation 2)

The best method to use for this case is elimination, which is when you get rid of one of the variables by subtracting or adding.

Since the coefficients for "g" are 39 and 13, they can be eliminated if equation 2 was triple itself.

(25r + 13g = 582.43)  X 3

= 75r + 39g = 1747.29  (new equation 2)

Subtract "equation 1" from "new equation 2"

.   75r + 39g = 1747.29

<u>-   12r + 39g = 575.53</u>

.    63r + 0g = 1171.76    <=we only deal with "r" because 0g is nothing

.             63r = 1171.76    <=divide both sides by 63 to isolate r

.                 r = 18.60       <=rounded from 18.599...

The cost of a ribeye steak dinner is $18.60.

Use any one of the equations to solve for "g", the cost of grilled salmon dinners. I will use equation 1.

12r + 39g = 575.53

Substitute r = 18.6

12(18.6) + 39g = 575.53   <=only one variable now

223.2 + 39g = 575.53     <=subtract 223.2 from both sides

39g = 352.33             <=divide both sides by 39 to isolate g

g = 9.03  <=rounded from 9.0341...

The cost of a grilled salmon dinner is $9.03.

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3 years ago
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