Question

a linear function has a slope of 4 and a y-intercept of 3.A. Write an equation to represent this function.B. Create a scenario to represent this function.C. Make a table of values with at least 3 ordered pairs that represents this function.D. Graph this function on a coordinate plane.

Answer 1

A. y = 4x + 3

B. You have $3 and each week you earn $4, if x represents the number of weeks, y will represent the total amount that you will have after x weeks.

C. x y

0 3

1 7

2 11

Step-by-step explanation:

A. The equation of a line has the form: y = mx + b

Where m is the slope and b is the y-intercept.

So, if the slope is 4 and the y-intercept is 3, the equation of the line is:

y = 4x + 3

B. On the other hand, a scenario that represents this function is:

You have $3 and each week you earn $4, if x represents the number of weeks, y will represent the total amount that you will have after x weeks.

C. To make the table, we need to give values to x and calculate the value of y. So:

If x = 0, then:

y = 4(0) + 3 = 3

If x = 1, then:

y = 4(1) + 3 = 7

If x = 2, then:

4(2) + 3 = 11

Therefore, the table is:

x y

0 3

1 7

2 11

D. Finally, using the points in the table (0, 3) and (1, 7) we can graph this function as: