Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
Let
x---------> represents Martin's sister's age
y--------> represents Martin's age
we know that
--------> equation 
--------> equation 
Substitute equation
in equation 
![x+[x-6]\leq 22\\2x\leq 22+6\\ x\leq 14](https://tex.z-dn.net/?f=%20x%2B%5Bx-6%5D%5Cleq%2022%5C%5C2x%5Cleq%2022%2B6%5C%5C%20x%5Cleq%2014)
therefore
<u>the answer is</u>
Part a) An inequality that can be used to represent this situation is
or 
Part b) the oldest age Martin's sister can be is
years old
Answer:
She deposits $350 into the account at the beginning of the year.
Step-by-step explanation:
Let us assume that Keegan deposits $P into her savings account at the beginning of the year.
The account earns 3% simple interest each year and she has $360.50 in her account at the end of the year.
If Keegan did not make any additional deposits or withdrawals during the year.
So, we can write that
⇒ P = $350 (Answer)
Answer:
19
Step-by-step explanation:
3 to the power of 2 is 9
5 times 2 is 10
10 plus 9 is 19