ANSWER and EXPLANATION
We have that twice a number is increased by a different number and that is equal to 15.
a) Let the first number be x.
Let the second number be y.
This means that:
2x + y = 15
b) To find the possible numbers that can solve this, we have to pick random values of x, then use that to find the values of y.
Let us pick x as 3, 6 and 9.
When x = 3:
2(3) + y = 15
6 + y = 15
=> y = 15 - 6
y = 9
When x = 6:
2(6) + y = 15
12 + y = 15
y = 15 - 12
y = 3
When x = 9:
2(9) + y = 15
18 + y = 15
y = 15 - 18
y = -3
These are some possible solutions to the equation.
c) The graph of this equation would be continuous.
A continuous graph is one whereby x take any values not some particular values.
Because the question does not classify the kind of numbers, the numbers could be any numbers, and so, the graph would be continuous.