# Help, if you can.

• Oct 11th 2006, 07:33 PM
Haxcake
Help, if you can.
I have two parts left on my math homework which i'm so confused about.

the first part is

Translate these algebraic statements into words: y=2x+5 and y=6x+5
A.What do you know about figure 0 for each patern?
b.Which pattern grows most quickly? How do you know?

and the second is a word equation

Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two-dozen cookies. If she needs to make thirteen dozen cookies in order to give one cookie to each of her students, how much cinnamon will she need

I keep getting bogus answers for that one, can someone show me step by step what to do to get the answer?
• Oct 11th 2006, 07:42 PM
ThePerfectHacker
Quote:

Originally Posted by Haxcake
I have two parts left on my math homework which i'm so confused about.

the first part is

Translate these algebraic statements into words: y=2x+5 and y=6x+5
A.What do you know about figure 0 for each patern?

y=2x+5
For any input value the output is obtained by doubling and adding 5.

y=6x+5
For ans input value the output is obtained by multipling by 6 and adding 5.

Quote:

b.Which pattern grows most quickly? How do you know?
Two ways.

1)Make a table of ways using same input values.
Code:

```y=2x+5 --------- x        y 1        7 10      25 100    205 1000  2005```
Code:

```y=6x+5 --------- x        y 1        11 10      65 100    605 1000  6005```
We see that the second one grows faster.

Alternatively you can graph them. (Blue is #2 Red is #1)
Look below
• Oct 11th 2006, 07:51 PM
Haxcake
Quote:

Originally Posted by ThePerfectHacker
y=2x+5
For any input value the output is obtained by doubling and adding 5.

y=6x+5
For ans input value the output is obtained by multipling by 6 and adding 5.

Two ways.

1)Make a table of ways using same input values.
Code:

```y=2x+5 --------- x        y 1        7 10      25 100    205 1000  2005```
Code:

```y=6x+5 --------- x        y 1        11 10      65 100    605 1000  6005```
We see that the second one grows faster.

Alternatively you can graph them. (Blue is #2 Red is #1)
Look below

Amazing help, thank you sir.
• Oct 11th 2006, 07:53 PM
ThePerfectHacker
Quote:

Originally Posted by Haxcake

Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two-dozen cookies. If she needs to make thirteen dozen cookies in order to give one cookie to each of her students, how much cinnamon will she need

This is a proportion question (more specifically direct proportion).

If she doubles the tablespoons then she doubles the amount she gets.

If she halves the tablespoons then she halves the amount she gets.

This observations say there is a direct proportion between the amount of tables spoons and the amount obtained as a result. Now proportions form fractions thus,

TABLESPOONS
----------------
AMOUNT

Now let us procede to the problem.

It says one and a half tablespoons that is 1.5 tablespoons create 2-dozen.
Thus form the proportion,
1.5
---
2

Next, let x be the amount of tablespoons she needs, the problem says she makes 13-dozen. Form the proportion,
x
--
13

Warning You need to keep your proportion in the order you did the first one. If you had tablespoons in numerator and amount in denominator then for the second proportion you still keep it like that.

Finally the proportions are equal thus,
Code:

```1.5          x ----  =  ----  2          13```
Cross multiply,
(1.5)*(13)=2*x
Thus,
19.5=2*x
Divide by 2 both sides,
9.75=x
Thus she needs,
9 and three quaters of tablespoons.