Step-by-step explanation:
The problem states that you have a linear function so expect your equation to have this form:
y = mx + b
where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.
m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)
= 54/9 = 6
So our equation now becomes
y = 6m + b
To solve for b, plug in the values of P1:
6 = 6(5) + b ---> b = -24
Therefore, our equation is
y = 6m - 24
The rest of the points are
(8, 24)
(11, 42)
4. First find how much sauce is used for 1 person:
2 ÷ 7 = 0.285714285714286
0.285714285714286cups of sauce will make spaghetti for one person.
0.285714285714286 • 210 = 60
60 cups of sauce for 210 people.
5. Found out how much he read in one minute:
40 ÷ 50 = 0.8
0.8 • 80 = 64
In 80 minutes, she will read 64 pages.
6. Found out how much he earns after one month:
9 ÷ 6 = 1.5
1.5 • 12 = 18
18 • 2 = 36
After two years, he will have 36 days of vacationing time
3a - 4b = 21
check (-2 , -3)
3(-2) -4(-3) =21
-6 +12 = 21
6 does not = 21 so NO
check (0 , 7)
3(0) -4(7) =21
0-28=21
-28 does not equal 21 so NO
check (-3 , -2)
3(-3) -4(-2) =21
-9 +8 = 21
1 does not = 21 so NO
check (7 , 0)
3(7) -4(0) =21
21 = 21
Choice D
