Answer:
y = 1/2x + 1.
Step-by-step explanation:
Use the point-slope form of a straight line:
y - y1 = m(x - x1) (where m=slope and(x1,y1) is a point on line).
y - 3 = 1/2(x - 4)
y = 1/2x - 2 + 3
y = 1/2x + 1.
That is what it looks like
We can model this situation with a linear equation. We know for our problem that the initial point is (0, 25), and the next point is (10, 108.4). To relate those points and find the slope of our linear equation, we are going to use the formula:
. Notice that we know from our points that:
,
,
, and
. So, lets replace those values in our formula to find
:
Now that we have the slope of our linear equation, we can use the point slope formula:
to complete our linear equation:
Or in function notation:
We can conclude that the equation that matches this situation is
.
Step-by-step explanation:
the distance covered by the card using 8.5 liters of petrol is 140.25 km
Answer: 4 walls
Step-by-step explanation: We know that Ms. O'Grady has approximately 6 1/8 gallons of paint, and needs 1 2/5 gallons per wall she paints. Key words like "per" and "each" tells us that we need to divide these two numbers. However, we run into one problem: the two fractions have 2 different denominators (the number on the bottom of the line) But don't fret! There is an easy fix to this: Multiply the fractions so they match.
In order to do this, we need to find the least common multiple of the numbers 8 and 5. A simple way of doing this is muliplying the numbers together: 8x5=40. Therefore, we need to change our fractions so both denominators equal 40.
1/8 x 5/5 = 5/40
2/5 x 8/8 = 16/40
Now that we have our fractions writen in much simpler terms, we need to add the coefficients to them.
6 + 5/40 = 245/40
1 + 16/40 = 56/40
Now, we divide 245 by 56, which gets us 4 15/40, which can be simplified to 4 3/8. However, Ms. O'Grady can only paint 4 ENTIRE walls. The 3/8 does not matter in this scenario because she can only paint 3/8 of the wall. Therefore, your answer is 4. I hope this helps. :)
