The perimeter of a rectangle is 36 inches. The length is 2 inches greater than three times the width. What is the length of the
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Answer:
The rate of change of the weight of kitten A is greater than the rate of change of the weight of kitten B
Step-by-step explanation:
- The rate of change of the linear relationship is the slope of the line which represent this relationship
- The rule of the slope is m =
, where (x1, y1) and (x2, y2) are 2 points on the line
∵ The table shows the weight gain of kitten A
→ Choose two points from the table to find the slope
∵ Points (0, 3) and (1, 7) are two points in the table
∴ x1 = 0 and y1 = 3
∴ x2 = 1 and y2 = 7
→ Substitute them in the rule of the slope above
∵ m = =
= 4
∵ The slope is the rate of change
∴ The rate of change of the weight of kitten A is 4 oz/week
∵ The graph shows the weight gain of kitten B
→ Choose two points on the line to find the slope
∵ Points (0, 4) and (2, 10) lies on the line
∴ x1 = 0 and y1 = 4
∴ x2 = 2 and y2 = 10
→ Substitute them in the rule of the slope above
∵ m = =
= 3
∵ The slope is the rate of change
∴ The rate of change of the weight of kitten B is 3 oz/week
→ By comparing the two rates
∵ The rate of change of kitten A is 4 oz per week
∵ The rate of change of kitten B is 3 oz per week
∴ The rate of change of the weight of kitten A is greater than
the rate of change of the weight of kitten B
Answer:
B. 30
Step-by-step explanation:
The mosaic tile has a trapezoidal shape, so that its area can be determined as follows;
Area of a trapezium = (a + b)h
where: a and b represent the length of its plane sides, and h is the height.
Area of a mosaic tile = (4 + 6) 4
= 10 x 2
Area of a mosaic tile = 20 square inches.
But, Dan wants to cover a 600 square inch area.
So that the number of tiles needed =
= 30
The number of mosaic tiles needed by Dan is 30.