Answer:
A
3(2x -5)-2(x-5)=3.(2x)-3.(5)-2.x-2.(-5)
=6x-15-2x+10
=4x-5
the function f(x) = 3x + 5 has a slope of 3 and a y-intercept of (0,5).
Table 1, reproduced below, shows that for every unit increase in x, y increases by 3, and that y=5 when x=0 (which is the y-intercept).
Table 1 is the correct answer.
.x y
-3 -4
-2 -1
-1 2
0 5
Answer:
Rate = 4.5
Step-by-step explanation:
It is given that,
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.
We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :
![U=\dfrac{\text{No of cups of flour}}{\text{No of cups of sugar}}\\\\=\dfrac{1\dfrac{1}{2}}{\dfrac{1}{3}}\\\\=\dfrac{\dfrac{3}{2}}{\dfrac{1}{3}}\\\\=\dfrac{3}{2}\times 3\\\\=4.5](https://tex.z-dn.net/?f=U%3D%5Cdfrac%7B%5Ctext%7BNo%20of%20cups%20of%20flour%7D%7D%7B%5Ctext%7BNo%20of%20cups%20of%20sugar%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%5Cdfrac%7B1%7D%7B2%7D%7D%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cdfrac%7B3%7D%7B2%7D%7D%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B2%7D%5Ctimes%203%5C%5C%5C%5C%3D4.5)
So, the unit rate of flour to sugar for the cookie recipe is 4.5
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