Ack hopped a total of 150 feet, that is 140 over what the young kangaroo hopped
Answer:
y-intercept = (0,
).
Step-by-step explanation:
Given the linear equation in standard form, 12x + 13y = 8:
We must transform this equation into slope-intercept form to make it easier to determine the coordinates of the y-intercept.
12x + 13y = 8
Subtract 12x from both sides:
12x + 13y - 12x = - 12x + 8
13y = - 12x + 8
Next, divide both sides of the equation by 13 to solve for y:

or 
Next, to determine the y-intercept, we must set x = 0 (because the y-intercept is the point where the graph of the linear equation crosses the y-axis).
Let x = 0:


Therefore, the value of y when x = 0 is
. This is the y-intercept, and its coordinate is (0,
).
Answer:

$570
Step-by-step explanation:
Given that:
For each hour of tutoring, Lena earns 30 dollars.
E is her earning and
H is the number of hours for which she tutors.
To find:
Equation relating E to H.
Solution:
Let Lena tutors for 1 hour, then the earning = 30 dollars
Let Lena tutors for 2 hours, then the earning = 30+30 OR 2
30 = 60 dollars
Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3
30 = 90 dollars
If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.

So, the equation that relates E to H is given as:

Now, it is given that she tutors for 19 hours.
Let us put H = 19 hours in the above equation:

Therefore, the earning for 19 hours of tutoring is <em>570 Dollars.</em>