Suppose you are doing a 5,000 piece puzzle. you have already placed 175 pieces. Every minute you place 10 more pieces. Write and equation in slope intercept form to model the number of pieces placed. Is this relationship linear, how do you know?
Answers
5,000=10x+175
Where x equals minutes spent working on the jigsaw.
Final answer:
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.
Explanation:
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.
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Answers
Good job again :)
y + 2x = 9
according to your answer
5+ 2(2) = 9
9 = 9 (the answer is correct)
Answers
Answers
-7y -3y +2 = -8y-8
-10y +2 = -8y-8
-10y +8y = -8 -2
-2y = -10
2y = 10
y = 10/2 = 5
Answer:
y = -5/6
Step-by-step explanation:
7y - 3y + 2 = -8y - 8
12y + 2 = -8
12y = -10
y = -10/12 = -5/6
Answers
Answer and explanation:
To find : Write a fact family for 2, −5, and −10 ?
Solution :
A fact family is a group of math facts using the same numbers.
In the case of multiplication and division, we bring number together to get the product or divisor.
For 2, −5, and −10
The fact family are,
Answers
4 would be your hundredth
0 would be your tenth
2 would be your ones
if your trying to figure out the tenth because it's a zero, it will still be zero
your answer is 0