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Jet001 [13]
2 years ago
12

During the trip, the Morales family drove on several different highways. Gabriela and Luis noticed that sometimes the mile marke

rs were increasing, and other times the mile markers were decreasing.
On one highway, Gabriela noticed that they passed mile marker 123 at 1:00. She then saw that they reached mile marker 277at 3:00. Since Mr. Morales was driving at a constant speed, their mile-marker location over time can be represented by a line where the time in hours is the independent variable and the mile marker is the dependent variable. The points (1,123) and (3,277) are two points on this line.

What is the value of the slope of this line?

Enter your answer as the correct value, like this: 42

If your answer is a fraction, use the / symbol. For example, if your answer is 314, enter your answer like this: 3/14
Mathematics
1 answer:
Elenna [48]2 years ago
3 0

<u><em>Answer:</em></u>

The slope of the line is 77

<u><em>Explanation:</em></u>

We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.

<u>The slope can, therefore, be calculated as follows:</u>

slope = \frac{y_2-y_1}{x_2-x_1}

where (x₁ , y₁) and (x₂ , y₂) are two points on the line

We are given that the two points (1, 123) and (3, 277) are two points in the line

<u>Substitute with them in the above equation to get the slope as follows:</u>

slope = \frac{277-123}{3-2}=77

Hope this helps :)

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8 0
2 years ago
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4 0
3 years ago
Read 2 more answers
Fill in the blank 8(? +3) =48+24
Triss [41]

Answer:

6

Step-by-step explanation:

treat the ? as an x. you need to get it by itself. but first you should distribute the 8.

8x + 24 = 48 +24

8x+24 = 72

take the 24 and subtract it from 72

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3 0
3 years ago
Read 2 more answers
Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the spe
posledela

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

:

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

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6.5x= 5x + 5

6.5x - 5x = 5

1.5x = 5

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

4 0
3 years ago
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