Question the-co

1.1 Linear Functions - Graphs in slope-intercept, point-slope, standard form
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The cost y , in dollars, for a manufacturer to make x rings is represented by the line shown.

  • The line slants gradually up from left to right.
  • The line passes through the following points:
    • (0 comma 100)
    • (60 comma 175)
    • (100 comma 225)

What is the cost, in dollars, for the manufacturer to make 60 rings?

A.

100

B.

125

C.

175

D.

225

The cost y , in dollars, for a manufacturer to make x rings is represented by

Easy-difficulty · SAT Math · Linear Functions — Graphs in slope-intercept, point-slope, standard form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. The line shown represents the cost y , in dollars, for a manufacturer to make x rings. For the line shown, the x-axis represents the number of rings made by the manufacturer and the y-axis represents the cost, in dollars. Therefore, the cost, in dollars, for the manufacturer to make 60 rings is represented by the y-coordinate of the point on the line that has an x-coordinate of 60 . The point on the line with an x-coordinate of 60 has a y-coordinate of 175 . Therefore, the cost, in dollars, for the manufacturer to make 60 rings is 175 .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the cost, in dollars, for the manufacturer to make 20 rings.

Choice D is incorrect. This is the cost, in dollars, for the manufacturer to make 100 rings.