Answer:
the slope is 3/5
Step-by-step explanation:
and if you want the y intercept it's 4
So find the difference between 1995 and 2022 to make it easier
2022-1995=27
so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100 so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48
Hazel was 48 and Gary was 23 in the year of 1995
The 30% off is $82.50 cheaper. Which would be $192.50
Answer:
Calving earning = 4400
Betty earning = 9400
Albert earning = 4700
Donna = 8800
Step-by-step explanation:
Given that :
Calving earning = c
Betty earning = c + 5000
Albert earning = (c + 5000) /2
Donna = 2c
c + 5000 + (c + 5000) /2 = 900 + c + 2c
c + 5000 + 0.5c + 2500 = 900 + 3c
1.5c + 7500 = 900 + 3c
7500 - 900 = 3c - 1.5c
6600 = 1.5c
c = 6600 / 1.5
c = 4400
Calving earning = c = 4400
Betty earning = 4400 + 5000 = 9400
Albert earning = (4400 + 5000) /2 = 4700
Donna = 2(4400) = 8800
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
