Two siblings, Matthew and Katie, are working hard to save money to go on a summer trip with their family. Both started with some money, and they both have jobs where they are paid by the hour. The following graph shows their projected savings:

Matthew's projected savings is modeled by:

m(t )= 12.50t + 350

Katie's projected savings is modeled by:

k(t) = 10t + 425

In both functions, t is the number of hours worked.

How much money will Katie have saved after working 20 hours?

options:

$450

$625

$575

$600

$625

Step-by-step explanation:

K(t)=10t+425

k(20)=10(20)+425

k(20)=200+425

k(20)=625

$625

Hope this helps!

$ 625

Step-by-step explanation:

K(t) = 10t + 425

K(20) = 10×20 + 425

K(20) = 200 + 425

K(20) = 625

I hope I've helped you.

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀  .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

           y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"