I spent more<br> than $10. Each<br> apple cost $.50<br> and there was a<br> $2 bag charge.

If the fuel tank in Jim's car holds 14 gallons of fuel, define a formula to determine the number of gallons of fuel in Jim's fue

salantis [7]

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

2 years ago

1) The difference of twice a number and 14 is –37.

Ket [755]

Answer:

2x - 14 = -37

6 0

3 years ago

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

Lostsunrise [7]

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.

Let's try this with option C. To make things easier, convert -4.5 into decimal form: $-4\frac{1}{2}$ . Substitute $-4\frac{1}{2}$ for x and 10 for y in the equation, then solve: