Answer:
Problem 1: y = 4x + 6
Problem 2: 48 soda bottles per minute
Step-by-step explanation:
Problem 1:
Equation of a line in slope-intercept form is given as y = mx + b.
Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.
Thus,
m = hourly fee = $4
b = initial deposit = $6
Substitute m = 4 and b = 6 into y = mx + b
Equation would be:
y = 4x + 6
Problem 2:
What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute
Using the two points (3, 144) and (8, 384),
Slope = ∆y/∆x = (384 - 144)/(8 - 3)
Slope = 240/5 = 48
Thus, the machine will make 48 bottles per minute
Answer:
1/2
Step-by-step explanation:
It is a independent problem. Flipping a head the first time will not affect the other results therefore it is still one half.
Answer:
1. Yes
2. Because by moving the negative sign from the x to the 5 by dividing, the inequality sign has to switch and it'll become x>-5 as well, and vice versa,
3. x > -4
Step-by-step explanation:
For #3:
2.1x + 43.2 > 1.2 - 8.4x
2.1x + 8.4x > 1.2 - 43.2
10.5x > -42
x > -4
Answer:
31
Step-by-step explanation:
Add all of the integers together then divide by 4 bc thats how many integers there are in order to get the mean.
Simply add in the known information. To find the cost of 1700 key chains, substitute it for p in the equation, like this: C=205.00+0.70(1700) and solve.