A bag of chips states that there are 160 calories in 12 chips. Write an equation in point-slope form to represent the number of calories, y, with respect to the number of chips consumed, x.(1 point)

Question

Responses

y−160=(x−12)
y minus 160 equals left parenthesis x minus 12 right parenthesis

y−160=340(x−12)
y minus 160 equals Start Fraction 3 over 40 End Fraction left parenthesis x minus 12 right parenthesis

y−160=160(x−12)
y minus 160 equals 160 left parenthesis x minus 12 right parenthesis

y−160=403(x−12)

Answer 1

To write the equation in point-slope form \(y - y_1 = m(x - x_1)\), we need a point \((x_1, y_1)\) and the slope \(m\).

From the information provided, we know:

• When \(x = 12\) chips, \(y = 160\) calories.
• The slope can be determined from the fact that there are 160 calories in 12 chips, which implies that each chip contains \( \frac{160}{12} \) calories.

Calculating the slope: \[ m = \frac{160}{12} = \frac{40}{3} \]

Now we can use the point \( (12, 160) \) and the slope \( \frac{40}{3} \) to write the equation in point-slope form:

\[ y - 160 = \frac{40}{3}(x - 12) \]

However, that response isn't one of the provided options. It seems like the options are incorrect based on the information provided.

None of the provided options represent the correct equation in point-slope form derived from the given data.

If we had to select the closest, none accurately represents this situation based on the information provided, as they all seem to either manipulate the value incorrectly or give wrong slopes. Therefore, the answer from your options would be to correctly form the equation instead using known data.

In case there is a specific slope or error margin you wish to work with, let me know!