Example:
The sum of two consecutive integers is -15. What is the product of the two integers?
x = 1st consecutive integer
x + 1 = 2nd consecutive integer {consecutive integers increase by 1}
x + x + 1 = -15 {the sum of two consecutive integers is -15}
2x + 1 = -15 {combined like terms}
2x = -16 {subtracted 1 from each side}
x = -8 {divided each side by 2}
x + 1 = -7 {substituted -8, in for x, into x + 1}
-8 and -7 are the two consecutive integers
Their product is 56.
I can’t see the image but may just be my phone
We can set this up as a proportion.
Since 2 is proportional to 1000, then 4 is proportional to "doctors surveyed".

where d is the doctors surveyed.
Cross multiply.
2d = 4000
d=2000
2000 doctors were surveyed.
Answer:
Diana approximately had 128 cards
Step-by-step explanation:
Let n be the number of cards Diana had. She knows that
- there are 17 kings among n cards
- 4 kings among 30 cards
Write a proportion:

Cross multiply:

Answer:
g(4) = - 16
Step-by-step explanation:
Substitute x = 4 into g(x) , that is
g(4) = - 7(4) + 12 = - 28 + 12 = - 16