For problem 1, it will be 25/100, which is equal to 25%
2) The relationship is that both, the bar model and the proportion, show that x is 1/4 of the actual amount. The bar graph is more a visual. However, in both cases, the x can be solved for to be 25%
3) The percent error for 23°C will be less since it is closer to 25°C, the actual amount. The percent error is greater for 5°C since it is farther for 25°C.
Speed (v) could be determined using this following formula
v = distance ÷ time
plug in the numbers
v =

v =

v = 9/3
v = 3
The speed is 3 miles per hour
Answer:
Hello,
First equation is false
Second equation is true
Step-by-step explanation:
1)
(4,-3) is a point of the line y=4x-19 since
-3=?4*4-19
-3=-3
2)
(4,-3) is not a point of the line y=1/4x-2 since
-3=? 1/4*4-2
-3=? 1-2
-3≠-1
I have written that because it is difficult for me to understand
"the negative reciprocal of the slope of the first"
the negative reciprocal of 4 should be -1/4.
Equation y=1/4x-2 is false.
Answer:
a) not proportional
b) proportional; k = 
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Answer:
Step-by-step explanation:

All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get

Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get

The undoing of a square is to take the square root, so we will do that to both sides giving us, finally