Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
Joshua worked 4 hours and luke worked 7
Step-by-step explanation:
25x + 35x +105 = 345
60x = 345 - 105
60x = 240
x = 240/60
x = 4 hours
Answer:
y = 1/2x -1.5
Step-by-step explanation:
The equation of a line is typically written as y = mx + b.
m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.
Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.
y = 1/2x + b
In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.
-3 = 1/2(-3) + b
One half of -3 is -1.5.
-3 = -1.5 + b
Add -1.5 to both sides of the equation.
-3 = -1.5 + b
+1.5 +1.5
-1.5 = b
Since we found the y-intercept, we can now place it into our equation.
y = 1/2x -1.5 and that's the answer!
Answer:
2.4 x 10^6
Step-by-step explanation:
40,000 x 60 = 2400000
standard index form = 2.4 x 10^6
