Question

Variable a is 4 more than variable b. Variable a is also 1 less than b. Which of the following pairs of equations best models the relationship between a and b?
a = b + 4
a = b − 1
a = 4b
a = b + 1
b = a + 4
b = a − 1
b = 4a
b = a + 1

Answer 1

"a is 4 more than b" ⇒ a = b +4

"a is 1 lesss than b" ⇒ a = b - 1

The first pair of equations is the appropriate choice.

Answer 2

Answer:  The correct option is

$(A)~a=b+4\\\\a=b-1.$

Step-by-step explanation:  Given that the variable a is 4 more than variable b and variable a is also 1 less than b.

We are to select the correct pair of equations that best models the relationship between a and b.

Since the variable a is 4 more than variable b, so the relationship can be written as

$a=b+4.$

Also, the variable a is 1 less than the variable b, so the relationship can be written as

$a=b-1.$

Thus, the pair of equations that best models the relationship between a and b is

$a=b+4\\\\a=b-1.$

Option (A) is CORRECT.