1.Write the ratio 20:4 as an equivalent ratio of 5:x
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 an equivalent ratio of 5:x, we need to find a value for x that makes the ratio 20:4 the same as 5:x. Since 20 divided by 4 is 5, we need to divide x by 4 to get 5. Therefore, x should be 20.
So, the equivalent ratio of 20:4 as 5:x is 5:20.
2. To find the unit rate or cost of 1 lb of cheese from a table, you would need the specific information from the table. Once you have the total cost for a certain amount of cheese, you can calculate the cost for 1 lb by dividing the total cost by the number of pounds.
3. To write 2y - 8 = 2(x - 4) + 6 in slope-intercept form, first distribute the 2:
2y - 8 = 2x - 8 + 6
2y - 8 = 2x - 2
Then, move -2 to the other side:
2y = 2x + 6
Divide by 2 to get the slope-intercept form:
y = x + 3
4. In the equation 3y = 15x, the unit rate is found by rearranging the equation into the form y = mx where m is the slope.
3y = 15x
y = 5x
So, the unit rate is 5.
5. To find the slope and y-intercept of the line passing through the points (1,4) and (0,1), first find the slope:
m = (4-1)/(1-0) = 3
Next, use the point (1,4) to find the y-intercept:
y = mx + b
4 = 3(1) + b
4 = 3 + b
b = 1
Therefore, the equation in slope-intercept form is y = 3x + 1.