6 3
9 8
12 13
Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of
y
x
?
A) yes;
5
3
B) yes;
3
5
C) yes;
1
3
D) The table does not represent a proportional relationship.
Answer:
Step-by-step explanation:
Yes, they have a proportional relationship.
The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:
This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.
Therefore, the right answer is the first one A.
About how much more did it snow last week than this week?
A.
about 4.0 inches
B.
about 3.5 inches
C.
about 3.3 inches
D.
about 3.2 inches
Rounding the snowfall from last week and this week to the nearest tenth results in a total of 11.2 inches last week and 7.9 inches this week. The difference, or how much more it snowed last week than this week, is 3.3 inches.
Last week, it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. When you round these to the nearest tenth, they become 4.3 inches and 6.9 inches respectively. Therefore, the total snowfall last week was 4.3 inches + 6.9 inches = 11.2 inches.
This week it snowed 7.89 inches. When we round it to the nearest tenth, it becomes 7.9 inches.
Now to figure out how much more it snowed last week than this week, we subtract the snowfall of this week from the total snowfall of last week, which is 11.2 inches - 7.9 inches = 3.3 inches. So, it snowed about 3.3 inches more last week than this week.
#SPJ2
Answer:
Step-by-step explanation:
step 1
Find the equation of the first inequality
Find the equation of the first solid line
we have the ordered pairs
(0,-2) and (2,0)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
The equation in slope intercept form is equal to
we have
---> the y-intercept is given
substitute
Remember that
Everything to the left of the solid line is shaded
so
The inequality is
step 2
Find the equation of the second inequality
Find the equation of the second dashed line
we have the ordered pairs
(0,2) and (4,0)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
The equation in slope intercept form is equal to
we have
---> the y-intercept is given
substitute
Remember that
Everything below and to the left of the line is shaded
so
The inequality is
Rewrite
Multiply by 2 both sides
therefore
The system of inequalities is
see the attached figure to better understand the problem
Answer:
17 1st option
35 2nd option
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
(30)(34)
=1(34)
=(1)(81)
=81