Answer:
36/60
Step-by-step explanation:
There are 60 minutes in an hour
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
More can be learned about proportional relationships at brainly.com/question/10424180
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Out of the choices, the entities with only one dimension and have infinite length are the line and ray. The line extends to both sides while the ray is restricted by an endpoint on one side but can extend infinitely to the other side. The answers are therefore letter D and F.
Answer:
y = x + 7
Step-by-step explanation:
x = number of weeks
y = the total number of quizzes y.
<em>Cole has already taken 7 quizzes = </em>+ 7
<em>he expects to have 1 quiz during each week of this quarter = </em>1x
y = 1x + 7
y = x + 7
