Answer:
3/4 inch per year
Step-by-step explanation:
A <em>unit </em>rate is the change in some quantity per <em>one</em> of another quantity. One common unit rate is <em>miles per hour</em>, which measure the number of miles traveled in <em>one hour</em>. Here, we're asked for the unit rate of plant growth per year, and we're told that at 16 years old, the plant measures 12 inches. Assuming this growth is <em>linear</em> (that is, it grows by the same amount each year), we can divide each quantity by the number of years (16) to find a unit rate of 12/16 = 3/4 inch per year.
The constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
<h3>Variation</h3>
From the question, we are to determine the constant of proportionality
The given equation is
k = x ÷ y
From the given information,
When x = 1, y = 3
∴ k = 1 ÷ 3
k = 1/3
Thus, the constant of proportionality is 1/3
Now, we will determine the values of y for the values x = 3, x = 4, and x = 5
Since
k = x ÷ y
Then,
y = x ÷ k
When x = 3
y = 3 ÷ 1/3
y = 3 × 3
y = 9
When x = 4
y = 4 ÷ 1/3
y = 4 × 3
y = 12
When x = 5
y = 5 ÷ 1/3
y = 5 × 3
y = 15
Hence, the constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
Learn more on Variation here: brainly.com/question/19641181
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Answer:
5n+p>40
n+p<20
Step-by-step explanation:
Since pennies are worth 1 cent and nickels 5, using n as the number of nickels and p as the number of pennies, we can say that 5*n+1*p>40. Then, n+p is less than 20, so n+p<20. Our answer is then
5n+p>40
n+p<20
The tools that were used by ancient mathematicians to make geometric constructions are compasses and straightedges. A compass is a drawing instrument used to draw circles and arcs. The straightedges on the other hand is a tool to check on the accuracy of a straight line.
The answer is first choice.
