Answer:
point - slope form
y - 1 = 3 (x-0)
Step-by-step explanation:
<u><em>step(i):-</em></u>
Given points are (0,1) and (2,7)
The slope of the line
m =3
<u><em>Step(ii):-</em></u>
point -slope form
y - y₁ = m(x-x₁)
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3
y - 1 = 3 (x-0)
y -1 = 3x
3x - y +1=0
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0
Answer:
16 men would be needed to paint the room in 2 hours
Step-by-step explanation:
We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.
If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.
We are going to arrange the data inversely.
Let x be the number of men needed to paint the room in two hours
8 hours = 2 hours
x = 4 men
Cross-multiply
2×x = 8×4
2x = 32
Divide both-side of the equation by 2
2x/2 = 32/2
x = 16 men
16 men would be needed to paint the room in 2 hours
2.25 miles in 1 day
1day=2.25mi
14days=x miles
1day 14days
_______ = ________
2.25mi x mi
Cross multiply
1x=31.5
divide both sides by 1
x=31.5miles
Answer=31.5miles
