I dont understand bc all of the y/x come out different. Plz help

9514 1404 393

  A.  y = 0.45x +7

Step-by-step explanation:

When the y/x come out different, it means the relation is not a proportion. So, the "rate of change" need to be computed from ∆y/∆x, not y/x.

∆y is the difference between two y-values. If we use the first two columns of the table, we have ...

  ∆y = 6.2 -5.4 = 0.8

  ∆x = 3 - 1 = 2

Then the rate of change shown in the table is ∆y/∆x = 0.8/2 = 0.4.

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For the equations, the rate of change is the coefficient of x. Those are ...

  0.45, -1/2, 0.2, 1/10

If we were to put these rates of change in order on a number line, that order would be ...

  -1/2 < 1/10 < 0.2 < 0.4 < 0.45

A: y = 0.45x+7 has a greater rate of change than shown in the table.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)