Question

10x + 6y = 150
a. Write your own word problem that could match the equations above.
b. Rewrite the equation in the slope-intercept form.
c. Graph the Equation

Answer 1

Answer:

a. Someone has to buy 10 mini cupcakes per person who comes to their party. They also have to get 6 cookies. They end up having to but 150 total of both cupcakes and cookies combined. How many people came? (I'm not sure if that's completely right, that's just what came to mind.)

b. y=10x+25

c. I graphed it but it wouldn't let me add a picture. Sorry

Step-by-step explanation:

Slope- Intercept Form: y=mx+b

10x+6y=150

-10x -10x

6y=150-10x

6 6

y=25-10x

switch 25 and -10x so that it is in mx+b form

y=-10x+25

Answer 2

The word problem that matches the given equation is "A cupcake box price is $10 and the cookies box price is $6. But Joe only has $150". The slope-intercept form of the given equation is $y = -3/5\;x+25$.

Given :

Equation  --  $10x+6y = 150$

a) A cupcake box price is $10 and the cookies box price is $6. But Joe only has $150. So, write the equation that matches the above situation.

b) The slope-intercept form is given below:

$y = mx +c$

So, the given equation can be written in the above formate as:

$y = -\dfrac{3}{5}x+25$

c) The following steps can be used in order to graph the given equation:

Step 1 - First, sketch the graph of $y =x$.

Step 2 - Now, multiply the x-axis in the above graph by a factor of -3/5. So, the graph obtained is the graph of $y=-3/5 \;x$.

Step 3 - Now, translate the above graph by a factor of 25 in the left direction. So, the graph obtained is the graph of $y = -3/5\;x+25$.

The graph of the given equation is attached below.

For more information, refer to the link given below:

https://brainly.com/question/38332