Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
Answer:
10 months
Step-by-step explanation:
Our initial cost is $55
Our variable cost is $19.50 / month (lets call it 19.50m)
Chelsey has $250 dollars to spend.
Our equation would be as follows:
19.50m + 55 = 250 (this tells how many months plus the initial cost will be covered by the 250 dollars)
19.50m +55 -55 = 250 - 55
19.50m = 195
19.50m/19.50 = 195/19.50
m = 10
Chelsey can afford the initial membership fee and 10 months of club membership.
Answer:
IT would give you a decimal whis is 966.66666666667
Step-by-step explanation:
15*67+1-56+100/6
Answer: 9/14 of a pound each day.
Step-by-step explanation:
We can convert the mixed fraction into an improper fraction:
4 1/2 → 9/2
Now we divide by 7, since there are 7 days in a week:
9/2 ÷ 7
When we divide, by a number, it can be placed in the denominator:
9/2*7 = 9/14
There's no other way to simplify it, so that's our final answer.