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dem82 [27]
3 years ago
7

A truck driver is traveling from Sacramento to Reno. After 1 hour, the driver is 84 miles from Reno. After 2 hours, the driver i

s 36 miles from Reno. Write the linear function that relates the time x in hours since leaving Sacramento to the driver’s distance y in miles from Reno. Explain the meaning of the slope and y-intercept in this situation.

Mathematics
1 answer:
devlian [24]3 years ago
8 0
A truck driver is traveling from Sacramento to Reno. After 1 hour, the driver is 84 miles from Reno. After 2 hours, the driver is 36 miles from Reno. Write the linear function that relates the time x in hours since leaving Sacramento to the driver’s distance y in miles from Reno. Explain the meaning of the slope and y-intercept in this situation.

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Answer:

You can find the point of intersection of the line with the y-axis and the  the point of intersection of the line with the x-axis. See the graph attached.

Step-by-step explanation:

Find the intersection with the y-axis. Substitute x=0 into the equation and solve for y:

y-3=\frac{1}{3}(x+1)\\\\y-3=\frac{1}{3}(0+1)\\\\y-3=\frac{1}{3}(1)\\y=\frac{1}{3}+3\\\\y=\frac{10}{3}

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Find the intersection with the x-axis. Substitute y=0 into the equation and solve for x:

y-3=\frac{1}{3}(x+1)

0-3=\frac{1}{3}(x+1)\\(-3)(3)=x+1\\-9-1=x\\x=-10

Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)

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