Answer:
step 1. y - y1 = m(x - x1). this is the equation given a point and a slope.
step 2. find the slope m. m = (y2 - y1)/(x2 - x1) = (4 - (-4))/(0 - 2) = 8/-2 = -4.
step 3. y - (-4) = -4(x - 2) ; y + 4 = -4x + 8.
step 4. y = -4x + 4.
That’s 212 inches. 17ft=204in + 8in
Answer:
a. M=20A
b. k=20
c. $1200
Step-by-step explanation:
<u>Direct proportions
</u>
Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then
y=kx, where k is the constant of proportionality.
The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100
a.
Let's call A the number of attendees and M the amount of money raised, and
M=kA
We know that M=100 when A=5, so
100=k(5)
This means that
k=20
The equation for the amount raised at the charity event is
M=20A
b.
The constant of variation is k=20
c. If there are 60 attendees (A=60), then
M=(20)(60)=$1200