Question 1.
The length (in inches) of a coil spring in a mattress depends on the weight (in pounds) on it and is represented by the equation
a. What is the value of the
y-intercept?
b. What is the value of the slope?
c. Interpret the slope in context.
d. Describe the
y-intercept in context.
Question 2.
Tanya is raising money for charity by participating in a Dance-a-thon. The amount of money she raises depends on the number of sponsors she gets and is represented by the equation
a. Choose the numbers of all the statements below that are true.
1. This equation uses number of sponsors to predict the total money raised.
2. This equation uses the total amount raised to predict the number of sponsors.
3. According to the equation, as the number of sponsors increases, the total money raised increases by
$50.
4. According to the equation, the total money raised increases by $5 for each sponsor.
5. The model is linear because you sign up sponsors one at a time.
6. The model is linear because the total raised changes by a constant amount for each additional
sponsor.
b. Use the equation to calculate the total amount that would be raised with 32 sponsors. Show your work.
c. What is the value of the
y-intercept?
d. What is the value of the slope?
e. Describe the slope in context.
f. Describe the
y-intercept in context.
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