After 2 minutes an ant traveled 110 meters and after 7 minutes the ant will have traveled 260 meters. Assuming a linear equation can be used to model the change in distance traveled over time between 2 and 7 minutes, let y be the distance traveled (in meters) after x minutes and complete this linear model in slope-intercept form:

y = 30x + 50

Step-by-step explanation:

let y be the distance traveled (in meters) after x minutes.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (260 - 110)/(7 - 2)

m = 150/5 = 30

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 7, y = 260 and m = 30 into y = mx + c. It becomes

260 = 30 × 7 + c = 210 + c

c = 260 - 210

c = 50

The linear model becomes

y = 30x + 50

1 3 5

step-by-step explanation:

i took the test: )

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.