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In-s [12.5K]
3 years ago
11

Write an equation to represent each situation.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

<em>A) We are told that cost of blueberries is $4.99 a pound. </em>

<em> Now, Diego buys b pounds of blueberries and pays $14.95. </em>

<em> Since 1 pound costs $4.99, then b pounds will cost $4.99b </em>

<em> Since he paid $14.95, then the equation is; </em>

<em> $4.99b = $14.95</em>

<em>B) We are told that cost of blueberries is $4.99 a pound. </em>

<em> Now, Jada buys p pounds of blueberries and pays $c. </em>

<em> Since 1 pound costs $4.99, then p pounds will cost $4.99p </em>

<em> Since he paid $c, then the equation is; </em>

<em> $4.99p = $c </em>

<em>C)  We are told that cost of blueberries is $d a pound. </em>

<em> Now, Lin buys q pounds of blueberries and pays $t. </em>

<em> Since 1 pound costs $d, then q pounds will cost $qd </em>

<em> Since he paid $t, then the equation is; </em>

<em> $qd = $t</em>

<em>idk rest</em>

<em />

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The equation of this straight line is y = 50x + 100.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

<h3>How to determine the equation?</h3>

In order to determine the equation from this graph of a linear equation, we would find the slope of the straight line by using this formula as follows:

Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Slope, m = 100/2

Slope, m = 50.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

  • x and y are the points.
  • m is the slope.
  • c is the intercept.

At point (4, 300), we have:

y = mx + c

300 = 50(4) + c

300 = 200 + c

c = 300 - 200

c = 100.

Therefore, the equation of this straight line is y = 50x + 100.

Read more on slope here: brainly.com/question/28312822

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