Few SAT Questions NEED Explainations

Test Preparation SAT Preparation
1

Math:
A certain type of bronze is made by combining copper and tin so that the ratio of copper to tin is 19 to 1 by weight. How many pounds of tin are needed to make a 380- pound statue from this type of bronze?
Ans: 19

The function f has the property that f(a)= f (b) for all numbers a and b. What is the graph of y=f(x) in the xy-plane?
Ans: A line with slope 0.

X: 0, 1, 2
Y: 10, a, b
The value of X and Y in the table above are related so that (Y-1) is directly proportional to (X+1). What is the value of b-a?
Ans: 9

Grammar:
(That) I (have little interest) in art is not the fault of my parents, (taking) me to art exhibits and galleries from the time ( I was) ten years old. No error.
Ans: C (taking)

Whether the green team can avoid (losing these two important games depends on) each member’s ability to stay alert.
Ans: (losing these two important games depends on)
**Why isn’t it (losing these two important games depend on)

A thick growth of sunflowers (standing ten feet tall, their brown heads dropped) over the fence with the weight of their seeds.
Ans: (stood ten feet tall, their brown heads drooping)
**Isn’t that a fragment? “their” after the comma.

2

It needs to be “who took me to…”

The subject “whether the green team can avoid losing” is singular.

“their” after the comma is a modifier, and the part before the comma is an independent clause.

3

Thank you @marvin100 you’re always great.

4

Math:

  1. The number of pounds of tin is 1/(1+19) * 380 = 19 lbs. Alternatively you can set up an equation by letting t = # pounds of tin, and c = # pounds of copper. We are given c = 19t, and c+t = 380. Substitute c with 19t --> 19t + t = 380, t = 19.
  2. This one's pretty easy if you think about it a bit. Suppose f(0) = 7 for example. Then what is f(1)? f(2)? f(1000000)?
  3. y-1 = k(x+1) for some constant k. Substituting, we get

10-1 = k(0+1) --> this implies k = 9
a-1 = k(1+1) = 92 = 18 --> a = 19
b-1 = k(2+1) = 93 = 27 --> b = 28

Then b-a = 28-19 = 9. Also notice that this is exactly the value of k.