How does division effect numbers ( example )
1 answer:
You might be interested in
<em><u>Question:</u></em>
Marty and Ethan both wrote a function, but in different ways.
Marty
y+3=1/3(x+9)
Ethan
x y
-4 9.2
-2 9.6
0 10
2 10.4
Whose function has the larger slope?
1. Marty’s with a slope of 2/3
2. Ethan’s with a slope of 2/5
3. Marty’s with a slope of 1/3
4. Ethan’s with a slope of 1/5
<em><u>Answer:</u></em>
Marty’s with a slope of 1/3 has the larger slope
<em><u>Solution:</u></em>
<em><u>Given that Marty equation is:</u></em>
<em><u>The point slope form is given as:</u></em>
Where, "m" is the slope of line
On comapring both equations,
<em><u>Ethan wrote a function:</u></em>
Consider any two values from the table we have;
(0, 10) and (2, 10.4)
<em><u>The slope is given by formula:</u></em>
From above two points,
Therefore,
Thus we get,
Therefore, Marty’s with a slope of 1/3 has the larger slope
Answer:
9 labours
Step-by-step explanation:
In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.
In indirect proportion, if one quantity increases, the other decreases and vice versa.
As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.
6 labours => 12 days
x labours => 8 days
Since its an inverse proprotion, multiply 6 with 12, and x with 8.
8x = 6 × 12
x =
∴ x = <u>9 labours</u>