Writing Linear Equations Worksheet With Answer Key Page 13
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22 in the slope formula
For the distance of 10 mi the two stores will charge
the same amount.
2-4 Writing Linear Equations
.
34. TYPING The equation y = 55(23 – x) can be used
to model the number of words y you have left to type
after x minutes.
a. Write this equation in slope-intercept form.
Substitute m = 5 and
in the point
slope form
b. Identify the slope and y-intercept.
.
c. Find the number of words you have left to type
after 20 minutes.
SOLUTION:
a. Distribute 55 within the parenthesis.
Add 100 to each side
.
b. The y-intercept of the equation
is 50.
Thus, Ms. Cooper’s daily salary is $50.
b. Slope of the equation is the coefficient of x, –55.
c. Substitute x = 20 in the equation
.
y- intercept of the equation is 1265.
c. Substitute x = 20 in the equation y = 1265 – 55x.
Ms. Cooper will earn $150 if she recruits 20 people.
35. RECRUITING As an army recruiter, Ms. Cooper
is paid a daily salary plus commission. When she
36. CCSS MODELING Refer to the table.
recruits 10 people, she earns $100. When she
recruits 14 people, she earns $120.
a. Write a linear equation to model this situation.
b. What is Ms. Cooper’s daily salary?
a. Write and graph the linear equation that gives the
c. How much would Ms. Cooper earn in a day if she
distance y in kilometers in terms of the number x in
recruits 20 people?
miles.
b. What distance in kilometers corresponds to 20
SOLUTION:
miles?
a. The two ordered pairs which represent the number
of recruits and the salary are (10, 100) and (14, 120).
c. What number is the same in kilometers and miles?
Substitute
and
Explain your reasoning.
in the slope formula
SOLUTION:
a. The two ordered pairs which represent the number
.
of miles and its distance in kilometers are (100, 161)
and (50, 80.5).
Substitute
and
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in the slope formula
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