Question

HELP PLEASE ASAP WILL GIVE BRAINLIEST

Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.

Write an equation in slope-intercept form for total alabers, y, after x months.

Answer 1

Answer:

$y= 11x+35$

Step-by-step explanation:

Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew $\frac{77}{11} = 7$ trees.

At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees

The equation is then $y= 11x+35$