Question

Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. The table shows how much water, in gallons, remains at different times during the day. What is the equation that represents Yulian's situation in point-slope form? (HINT: Give all fractions as decimals)

Answer 1

Table

Hours                       2         4           6         8

Water remining        43      36         29        22


If you calculate the change in water remaining / hours elacpse you ge a constant value:

[36-49]/[4-2] = [29-36]/[6-4-29] = [22-29] / [8-6] = -7/2 = - 3.5

That is the slope.

The y-intercept is y when x =0, this is the volume of water when time is 0.

You can calculate it by adding 7 to 43 = 43 + 7 = 50

Then, the equation is y = -3.5x + 50