QuestionFind the total distance driven after 3.5 more hours if $y=65x+80$ and $x$ is the driving time in hours.

Studdy Solution

STEP 1

Assumptions1. The equation given is $y=65x+80$ , where $x$ is the number of hours driving and $y$ is the number of miles. . We are asked to predict the total distance driven if we continue for another3.5 hours.

STEP 2

First, we need to find the total number of hours driven. Since we have already driven for $x$ hours and we are going to drive for another.5 hours, the total number of hours driven will be $x +.5$ .

STEP 3

Now, we substitute $x +3.5$ into the equation to find the total distance driven. $y =65(x +3.5) +80$

STEP 4

Next, we distribute the65 to both $x$ and3..
$y =65x +65 \times3. +80$

STEP 5

Calculate the multiplication.
$y =65x +227.5 +80$

STEP 6

Now, we add the constants.
$y =65x +307.5$ So, the total distance driven after driving for another3.5 hours is represented by the equation $y =65x +307.5$ .

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QuestionFind the total distance driven after 3.5 more hours if $y=65x+80$ and $x$ is the driving time in hours.

Studdy Solution

STEP 1

Assumptions1. The equation given is $y=65x+80$ , where $x$ is the number of hours driving and $y$ is the number of miles. . We are asked to predict the total distance driven if we continue for another3.5 hours.

STEP 2

First, we need to find the total number of hours driven. Since we have already driven for $x$ hours and we are going to drive for another.5 hours, the total number of hours driven will be $x +.5$ .

STEP 3

Now, we substitute $x +3.5$ into the equation to find the total distance driven. $y =65(x +3.5) +80$

STEP 4

Next, we distribute the65 to both $x$ and3..
$y =65x +65 \times3. +80$

STEP 5

Calculate the multiplication.
$y =65x +227.5 +80$

STEP 6

Now, we add the constants.
$y =65x +307.5$ So, the total distance driven after driving for another3.5 hours is represented by the equation $y =65x +307.5$ .

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QuestionFind the total distance driven after 3.5 more hours if y=65x+80y=65x+80y=65x+80 and xxx is the driving time in hours.

Studdy Solution

STEP 1

Assumptions1. The equation given is y=65x+80y=65x+80y=65x+80, where xxx is the number of hours driving and yyy is the number of miles. . We are asked to predict the total distance driven if we continue for another3.5 hours.

STEP 2

First, we need to find the total number of hours driven. Since we have already driven for xxx hours and we are going to drive for another.5 hours, the total number of hours driven will be x+.5x +.5x+.5.

STEP 3

Now, we substitute x+3.5x +3.5x+3.5 into the equation to find the total distance driven.y=65(x+3.5)+80y =65(x +3.5) +80y=65(x+3.5)+80

STEP 4

Next, we distribute the65 to both xxx and3..y=65x+65×3.+80y =65x +65 \times3. +80y=65x+65×3.+80

STEP 5

Calculate the multiplication.y=65x+227.5+80y =65x +227.5 +80y=65x+227.5+80

STEP 6

Now, we add the constants.y=65x+307.5y =65x +307.5y=65x+307.5So, the total distance driven after driving for another3.5 hours is represented by the equation y=65x+307.5y =65x +307.5y=65x+307.5.

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QuestionFind the total distance driven after 3.5 more hours if $y=65x+80$ and $x$ is the driving time in hours.

Assumptions1. The equation given is $y=65x+80$ , where $x$ is the number of hours driving and $y$ is the number of miles. . We are asked to predict the total distance driven if we continue for another3.5 hours.

First, we need to find the total number of hours driven. Since we have already driven for $x$ hours and we are going to drive for another.5 hours, the total number of hours driven will be $x +.5$ .

Now, we substitute $x +3.5$ into the equation to find the total distance driven. $y =65(x +3.5) +80$

Next, we distribute the65 to both $x$ and3..
$y =65x +65 \times3. +80$

Calculate the multiplication.
$y =65x +227.5 +80$

Now, we add the constants.
$y =65x +307.5$ So, the total distance driven after driving for another3.5 hours is represented by the equation $y =65x +307.5$ .