The equation modelling the given scenario in slope-intercept form is y = 10x + 175, which represents a linear relationship because the rate at which puzzle pieces are being placed,10 per minute, is constant.
The subject of your query falls into the category of linear algebra, specifically, slope-intercept form equations and linear relationships in mathematics. In slope-intercept form, a line can be described by the equation y = mx + b, where 'm' represents the slope and 'b' signifies the y-intercept.
For your puzzle scenario, 'm' is the number of puzzle pieces you place each minute, which is 10, and 'b' is the initial number of pieces already placed which is 175. Therefore, the equation that models your situation is y = 10x + 175.
This relationship is, indeed, linear. We know this because the rate at which you are placing puzzle pieces is constant, meaning it doesn't change over time. This is characteristic of a linear relationship, as represented by the straight line on a graph. In other words, for every unit increase in time (x), the number of puzzle pieces placed (y) increases at a steady rate of 10.
#SPJ11
13.
y - the amount from the sale
x - a number of tickets
y = 5x + 40
Domain: x ∈ {0, 1, 2, 3, 4, 5}
Range = {40, 45, 50, 55, 60, 65}
15.
y - the cost of renting a law firm
x - a number of hour
y = 100x + 300
Domain: x ∈ {1, 2, 3}
Range = {400, 500, 600}
Answer:
3x{5x[10+5+400+399]}
3x{5x814}
3x4070
=1221
Answer:-13
Step-by-step explanation:
Answer:
-13 would be your answer. Hope this helps!
Answer:
A family paid $19,800 as a down payment for a home. If this represents 12% of the price of the home, find the price of the home.
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Let the price of the home be "x":
Equation:
0.12x = 19800
x = 19800/0.12
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x = $165,000
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Cheers,
Stan H.
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Step-by-step explanation: