Answer:
<em>The table shows a proportional relationship: YES</em>
<em>The constant of proportionality is k=7</em>
<em>y = 7x</em>
Step-by-step explanation:
<u>Proportions</u>
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality. It can be calculated by solving the equation for k:
We are given a table with 4 pairs of values. If the relationship between the variables is proportional, then the ratio y/x should be constant.
Let's verify some points:
Since all the ratios are equal,
The table shows a proportional relationship: YES
The constant of proportionality is k=7
The equation for the relationship is
y = 7x
Answer:
z=60 x=8
Step-by-step explanation:
z=60 reflection
180=12x+60+24
Answer:
Step-by-step explanation:
To find the unit rate we need to divide the # of miles over the number of practices to get the # of miles ran in a single practice:
=
Hope this helps!
Answer:
to find the x-intercept, set y to 0.
0 = 1/5x - 7
7 = 1/5x
35 = x
(35, 0)
to find the y-intercept, set x to 0.
y = 1/5(0) - 7
y = 0 - 7
y = -7
(0, -7)