Amelia makes $8 per hour at her job and then earns an additional $15 for every tablet she sells. She uses the expression 8h + 15
1 answer:
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Answer:
Step-by-step explanation:
To answer all the parts given find the equation of the line given in the graph.
Let the equation is,
y = mx + b
m = slope of the line
b = y-intercept
x = time
y = Amount of water
Slope of a line passing through two points and
is,
m =
Slope of the given line passing through (0, 80) and (1, 320)
m =
m = 240
Y-intercept 'b' = 80
Therefore, y = 240x + 80 will be the equation.
a). At x = 0
y = 240(0) + 80
y = 80 liters
b). As the time is increasing amount of the water is increasing
Rate of increase in the water = Slope of the line
= 240 liters per minute
Answer:
(i) 30
(ii) 8
Step-by-step explanation:
Start by drawing 3 rings for the Venn diagram. Each ring represents either Audi, BMW, or Citroën.
Next, add the information provided in the problem statement. We know that 20 choose BMW only. Another 20 choose Citroën only.
We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi. We'll call this number x.
Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën. So we'll say that number is 2x.
We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.
Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).
We know that BMW got 36 votes, so:
20 + x + x + 2x = 36
20 + 4x = 36
4x = 16
x = 4
We know that Citroën got 34 votes, so:
20 + x + x + z = 34
20 + 4 + 4 + z = 34
28 + z = 34
z = 6
We know that Audi got 48 votes:
y + 2x + x + z = 48
y + 2(4) + 4 + 6 = 48
y + 18 = 48
y = 30
Finally, we know that the total number of voters is 100.
20 + 20 + x + x + 2x + y + z + n = 100
20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100
92 + n = 100
n = 8
