Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to

we have the points
(3,13) and (6,14)
substitute the values in the formula


therefore
The rate of change is 
step 2
Find the initial value
we have


substitute in the equation 

solve for b

---> initial value
The linear equation is equal to

The y-intercept or initial value is 12
Step-by-step explanation:
2) a= -3/8 and b= -5/3
a×b= b×a
<u>-3</u><u> </u>× <u> </u><u>-5</u><u> </u> = <u> </u><u>-5</u><u> </u> × <u> </u><u>-3</u><u> </u>
8. 3. 3. 8
<u> </u><u>1</u><u>5</u><u> </u> = <u> </u><u>1</u><u>5</u><u> </u>
24. 24
3)a=8/11 and b= -6/11
a×b=b×a
<u> </u><u>8</u><u> </u> × <u> </u><u>-6</u><u> </u> = <u>-6</u><u> </u> × <u> </u><u>8</u><u> </u>
11. 11. 11. 11
<u> </u><u>-48</u><u> </u> = <u> </u><u>-48</u><u> </u>
121. 121
4) a= -9/15 and b= -7/2
a×b=b×a
<u> </u><u>-9</u><u> </u> × <u> </u><u>-7</u><u> </u> = <u> </u><u>-7</u><u> </u> × <u> </u><u>-9</u><u> </u>
15. 2. 2. 15
<u> </u><u>6</u><u>3</u><u> </u> = <u> </u><u>6</u><u>3</u><u> </u> , let's divide both by 3
30. 30
<u> </u><u>2</u><u>1</u><u> </u>= <u> </u><u>2</u><u>1</u><u> </u>
10. 10
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
Answer:
1/4
Step-by-step explanation:
3/12
Simplify. Both numbers can be divided by 3.
3/12 = 1/4
Answer:
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