Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:

$y = -0.02x + 14$

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem:

Jim's car holds 14 gallons of fuel, hence $b = 14$ .

Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is $m = -\frac{1}{50} = -0.02$ .

Hence, the function is:

$y = -0.02x + 14$

You can learn more about linear functions at brainly.com/question/25898120

5 0

3 years ago

The population of city is 2500 if the number of males is 240 more than females how many males and females are there in the city?

Blizzard [7]

There are 1130 females. There are 1370 males. What I did was take 2500 and subtracted 240 from it. I got 2260 and then divided that number by 2 and got the number of females. Then I took that number and added 240 to it and got the number of males.

5 0

3 years ago

Simplify <br> 1+sinx/cosx+cosx/1+sinx

Dmitry [639]

$\frac{1 + sin(x)}{cos(x)} + \frac{cos(x)}{1 + sin(x)}$
$\frac{[1 + sin(x)][1 +sin(x)]}{cos(x)[1 + sin(x)]} + \frac{cos(x)[cos(x)]}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + sin^{2}(x)}{cos(x)[1 + sin(x)]} + \frac{cos^{2}(x)}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + sin^{2}(x) + cos^{2}(x)}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + 1}{cos(x)[1 + sin(x)]}$
$\frac{1 + 1 + 2sin(x)}{cos(x)[1 + sin(x)]}$
$\frac{2 + 2sin(x)}{cos(x)[1 + sin(x)]}$
$\frac{2[1 + sin(x)]}{cos(x)[1 + sin(x)]}$
$\frac{2}{cos(x)}$
$2sec(x)$

6 0

3 years ago