57. Write an equation of a line that passes through the
origin and has a slope of 3.
ANSWER:
4-1 Graphing Equations in Slope-Intercept Form
c. $138
y = 3x
51. CCSS REASONING For Illinois residents, the
58. TEMPERATURE The temperature dropped
average tuition at Chicago State University is $157
rapidly overnight. Starting at 80°F, the temperature
per credit hour. Fees cost $218 per year.
dropped 3° per minute.
a. Write an equation in slope-intercept form for the
a. Draw a graph that represents this drop from 0 to
tuition T for c credit hours.
8 minutes.
b. Find the cost for a student who is taking 32 credit
b. Write an equation that describes this situation.
hours.
Describe the meaning of each variable as well as the
slope and y-intercept.
ANSWER:
a. T = 157c + 218
ANSWER:
a.
b. $5242
56. Write an equation of a horizontal line that crosses the
y-axis at (0, −5).
ANSWER:
y = −5
57. Write an equation of a line that passes through the
origin and has a slope of 3.
ANSWER:
y = 3x
b. y = −3x + 80; y represents the temperature, x
58. TEMPERATURE The temperature dropped
represents the elapsed time, the slope represents the
rapidly overnight. Starting at 80°F, the temperature
change in temperature per minute and the y-intercept
dropped 3° per minute.
represents the temperature when the temperature
started to drop.
a. Draw a graph that represents this drop from 0 to
8 minutes.
59. FITNESS Refer to the information given.
b. Write an equation that describes this situation.
Describe the meaning of each variable as well as the
slope and y-intercept.
ANSWER:
a.
a. Write an equation that represents the cost C of a
membership for m months.
b. What does the slope represent?
c. What does the C-intercept represent?
d. What is the cost of a two-year membership?
ANSWER:
a. C = 45m + 145
b. y = −3x + 80; y represents the temperature, x
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represents the elapsed time, the slope represents the
b. The cost per month to maintain the membership.
change in temperature per minute and the y-intercept