If you drive 1000 miles, then you would multiply $0.05 * 1000 miles =$50.
The X-intercept is a point where the line crosses the X lines. That means it would be the point where Y=0. Then to find the X-intercept you only need to insert Y=0 into the equation. The calculation would be:
<span> 4×+2y=12
4X+ 2 (0)= 12
4X =12
X=12/4 = 3</span>
Multiply 4 on both sides.
x = 8 / 5
x = 1 3/5
Hope this helps!
If y represents the total number of cans already crushed at a given time,
<span>and x represents the number of minutes, </span>
<span>then we can observe that this is a point-slope equation for the point (5,65). </span>
<span>The point-slope format is </span>
<span>y - b = m (x - a) </span>
<span>where m is the slope of the line </span>
<span>and (a,b) are coordinates of a point on the line. </span>
<span>Since we're given b=65, we find the x-coordinate that corresponds to 65 on the table, </span>
<span>and therefore we know a=5. </span>
<span>We also need to fill in the blank for the slope. It turns out the slope is constant for the whole table, so we can use any two points to calculate it. Using the endpoints (3,49) and (9,97), we get </span>
<span>m = (difference in y-coordinates) / (difference in x-coordinates) </span>
<span>= (97 - 49) / (9 - 3) = 48/6 = 8 </span>
<span>So now we know that a=5, b=65, m=8 and the point-slope equation </span>
<span>y - b = m (x - a) </span>
<span>turns out to be </span>
<span>y - 65 = 8 (x - 5)</span>
