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1.Write the ratio 20:4 as an equivalent ratio of 5:x
Pounds 6, 5, 4, 3
cost 9.00, 7.50, 6.00, 4.50
2. Find unit rate or cost of 1 lb of cheese from table.
3. Write 2y - 8 = 2(x -4) + 6 in slope-intercept form
4. Joe ran 15miles in 3 hours. Equation 3y=15x
Find unit rate with y=mx?
5. What is slope and y-intercept of this graph?
Write equation in slope-intercept form:
(1,4), (0,1)
1. To find the equivalent ratio of 20:4 as 5:x, we need to set up a proportion:
20/4 = 5/x
Cross multiply:
20x = 4*5
20x = 20
Divide by 20:
x = 1
So, the equivalent ratio is 5:1.
2. From the table:
Pounds: 4
Cost: $6.00
Unit rate: Cost / Pounds = $6.00 / 4 = $1.50 per pound
3. To write 2y - 8 = 2(x -4) + 6 in slope-intercept form, we need to simplify the equation:
2y - 8 = 2x - 8 + 6
2y - 8 = 2x - 2
2y = 2x + 6
y = x + 3
So, the equation in slope-intercept form is y = x + 3.
4. Equation 3y = 15x represents Joe running 15 miles in 3 hours. We know that the unit rate is the m value in y = mx + b. So, to find the unit rate, we need to rewrite the equation in slope-intercept form:
3y = 15x
y = 5x
So, the unit rate with y = mx is 5.
5. To find the slope and y-intercept of the line passing through the points (1,4) and (0,1), we first need to find the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope = (1 - 4) / (0 - 1) = -3 / -1 = 3
Now, we can use the slope and one of the points to find the y-intercept:
y = mx + b
1 = 3(0) + b
b = 1
So, the equation in slope-intercept form is y = 3x + 1. The slope is 3 and the y-intercept is 1.