Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, 
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Answer:
X = 10
Step-by-step explanation:
The equation to use would be; 2x + 30 = 5x; because the baker is looking for enough to cover the costs, no more no less.
Then all you have to do is solve for the equation.
2x + 30 = 5x
Subtract 2x from each side
30 = 3x
Divide by 3
10 = x
The baker needs to sell 10 muffins in a day to make enough to cover the revenue.
Let's represent the number of hours with the variable 'h' (or whatever letter you want it to be):
265 + 48h = 553
Substract both sides by 265:
48h = 288
Divide:
h = 6
6 hours of labor was spent
First step is to simplify the equation so that it makes our life easier! Since 2^2 is equivalent to 4, we can plug that into the equation. Then we can also simplify 2^4 to 16. Now it should look like this:
(4)(2)/16
Now we can solve. 4(2) = 8 so now we have 8/16. 8/16 simplifies to 1/8 when you divide the numerator and the denominator by 8. So there you go! Your final answer is 1/8! I really hope that helped you out, and happy holidays!
