The linear equation that gives the height on the x-th month is:
y = 2.5*x + 74.5
<h3>
Which rule gives the height of the tree for the n-th month?</h3>
This will be modeled with a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that for a line with the points (x₁, y₁) and (x₂, y₂), the slope is given by:
Here we have the two points (3, 82) and (7, 92). Where the first value is the number of months and the second value is the height.
So the slope is:
Then the linear equation is:
y = 2.5*x + b
To get the value of b, we use the fact that when x = 3, we have y = 82,
82 = 2.5*3 + b
82 = 7.5 + b
82 - 7.5 = b = 74.5
Then the linear equation is:
y = 2.5*x + 74.5
If you want to learn more about linear equations:
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Answer:
The rule is multiply by 5
Step-by-step explanation:
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
4 quarter
Quarters are each worth 25 cents 25 x 4 = $1
The wall is a rectangle, so by the pythagorean theorem, the diagonal squared minus the height squared equals the width squared. This gives a width of 42.80 feet. The area of the wall is width (42.80 ft) x height (8.3 ft), equal to 355.26 square ft. The can covers 21.5 square feet, so John needs 16.52 cans to cover the wall. As he can't buy half a can, John should purchase 17 cans of spraypaint.<span>The wall is a rectangle, so by the pythagorean theorem, the diagonal squared minus the height squared equals the width squared. This gives a width of 42.80 feet. The area of the wall is width (42.80 ft) x height (8.3 ft), equal to 355.26 square ft. The can covers 21.5 square feet, so John needs 16.52 cans to cover the wall. As he can't buy half a can, John should purchase 17 cans of spraypaint.</span>
